Publications

1.     Fixed points of generalized contraction mappings on probabilistics metric spaces (with I. Beg and S. Rehman), Pakistan Journal of Statistics., 8 (1992), 35-52.

 

2.     Fixed point theorems and best approximations in convex metric spaces (with I. Beg and M. Iqbal), Approximation Theory and its Applications, 8 (1992), 97-105.     

 

3.     Random fixed points of random multivalued operators on Polish spaces (with I. Beg), Nonlinear Analysis, 20 (1993), 835-847.

 

4.     Random fixed point theorems on product spaces (with I. Beg), Journal of Applied  Mathematics and Stochastic Analysis, 6 (1993), 95-106.

 

5.     Random fixed points and approximations in random convex metric spaces (with I. Beg), Journal of Applied  Mathematics and Stochastic Analysis, 6 (1993), 237-246.

 

6.     Random approximations and random fixed point theorems (with I. Beg), Journal of Applied  Mathematics and Stochastic Analysis, 7 (1994), 145-150.

 

7.     Further generalization of generalized quasilinearization method (with V. Lakshmikantham), Journal of Applied  Mathematics and Stochastic Analysis, 7 (1994), 545-552.

 

8.     Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces (with I. Beg), Journal of Applied  Mathematics and Stochastic Analysis, 7 (1994), 569-580.

 

9.     Method of generalized quasilinearization of stochastic initial value problems(with F. A. McRae), Nonlinear Times and Digest, 1 (1994), 263-270.

 

10.                         An Application of a fixed point theorem to best simultaneous approximation (with I. Beg), Approximation Theory and its Applications, 13 (1994),1-4.

 

11.                         Extension of the method of quasilinearization for stochastic initial value problems (with F. A. McRae), Journal of Applied  Mathematics and Stochastic Analysis, 8 (1995), 69-75.

 

12.                         Random fixed points for multivalued operators defined on unbounded sets in Banach spaces (with I. Beg), Stochastic Analysis and Applications, 13 (1995), 269-277.                                      

 

13.                         Improved generalized quasilinearization method for second order boundary value problem (with A. S. Vatsala), Dynamic Systems and Applications, 4 (1995), 79-86.

 

14.                         Random fixed point theorems for multivalued inward random operators on Banach spaces (with I. Beg), Advances in Mathematical Sciences and Applications, 5 (1995), 31-37.

 

15.                         Method of quasilinearization for general second order boundary value problems (with V. Lakshmikantham), Nonlinear World, 2 (1995), 223-246.

 

16.                         Extension of the method of quasilinearization in abstract cones, Applicable Analysis, 57 (1995), 325-331.

 

17.                         Random fixed points of weakly inward operators in conical shell (with I. Beg), Journal of Applied  Mathematics and Stochastic Analysis, 8 (1995), 261-264.

 

18.                         Remarks on generalized quasilinearization  methods for first order periodic boundary value problems (with S. Malek), Nonlinear World, 2 (1995), 247-255.

 

19.                         Further generalization of quasilinearization method for boundary value problems (with S. Sivasundaram), Nonlinear Times and Digest, 2 (1995), 59-68.

 

20.                         Extension of the method of generalized quasilinearization for second order boundary value problems (with A. S. Vatsala), Applicable Analysis, 58 (1995), 77-83.

 

21.                         Extended quasilinearization method for boundary value problems (with S. Sivasundaram), Nonlinear World, 2 (1995), 311-319.

 

22.                         Random extension theorems (with I. Beg), Journal of  Mathematical Analysis and Applications, 196 (1995), 43-52.

 

23.                         Common random fixed points of random multivalued operators on metric spaces (with I. Beg), Bolletino Unione Mat. Ital. 9-A (1995), 493-503.

 

24.                         Applications of the proximity map to random fixed point theorems in Hilbert spaces (with I. Beg), Journal of Mathematical Analysis and Applications, 196 (1995), 43-52.

 

25.                         Existence and strong relaxation theorems for nonlinear evolution inclusion (with N. S. Papageorgiou), Yokohama Mathematical Journal, 43 (1995), 73-88.

 

26.                         Nonlinear variation of parameters formula for dynamic systems on measure chains (with V. Lakshmikantham and S. Sivasundaram), Dynamics of Continuous, Discrete and Impulsive Systems, 1 (1995), 255-265. 

 

27.                         On stability of moving conditionally invariant sets (with S. Leela), Nonlinear Analysis, 27 (1996), 797-800.

 

28.                         On random approximation and coincidence point theorems for multivalued operators (with I. Beg), Nonlinear Analysis, 26 (1996), 1035-1041.

 

29.                         Another extension of the method of quasilinearization of stochastic initial value problem (with F. A. McRae), Stochastic Analysis and Applications, 14 (1996), 191-200.

 

30.                         Methods of generalized quasilinearization for periodic boundary value problems (with V. Lakshmikantham and J. J. Nieto), Nonlinear Analysis, 27 (1996), 143-151.

 

31.                         Random fixed point theorems for various classes of 1-set-contractive maps in Banach spaces, Journal of Mathematical Analysis and Applications, 203 (1996), 712-718.

 

32.                         Stability of moving invariant sets and uncertain systems (with V. Lakshmikantham), Nonlinear Studies, 3 (1996), 31-34.

 

33.                        The method of generalized quasilinearization in finite systems (with A. S. Vatsala and S. Koksal), Nonlinear World, 3 (1996), 31-34.

 

34.                         Convex dependence of solutions of differential equations in a Banach space relative to initial data (with V. Lakshmikantham and W. Walter), Nonlinear Analysis, 27 (1996), 1351-1354.

 

35.                         On invariant random approximations (with I. Beg), Approximation Theory and  Applications, 12 (1996), 68-72.

 

36.                         On random approximations and a random fixed point theorem for multivalued mappings defined on unbounded sets in Hilbert spaces (with I. Beg), Stochastic Analysis and Applications, 14 (1996), 507-511.

 

37.                         Extremal solutions for semilinear obstacle problems (with N. S. Papageorgiou), Applicable Analysis, 60 (1996), 37-47.

 

38.                         Properties of the solution set of nonlinear evolution inclusions (with N. S. Papageorgiou),  Applied Mathematics and Optimization, 36 (1997), 1-20.

 

39.                         Measurable selections: In random approximations and fixed point theory (with I. Beg), Stochastic Analysis and Applications, 15 (1997), 19-29.

 

40.                         A general fixed point theorem for a class of continuous random operators (with I. Beg), New Zealand Journal of Mathematics, 26 (1997), 21-24.

 

41.                         The random version of the Kirzbraun-Valentine extension theorem, Journal of  Mathematical Analysis and Applications, 215 (1997), 147-153.

                                                                                                  

42.                         On periodic solutions of functional-differential inclusion in Rⁿ (with N. S. Papageorgiou), Dynamics of Continuous, Discrete and Impulsive Systems, 4 (1998), 313-320.

 

43.                         On maximal monotone differential inclusions in Rⁿ (with N. S. Papageorgiou), Acta Mathematica Hungrica, 78 (1998), 175-197.

 

44.                         A result on best approximation, Tamkang Journal of Mathematics, 29 (1998), 223-226; Corrections, 30 (1999), 165.

 

45.                         Some random approximation theorems with applications (with I. Beg), Nonlinear Analysis, 35 (1999), 609-616.

 

46.                         On functional-differential inclusions of Volterra-type (with N. S. Papageorgiou), New Zealand Journal of Mathematics, 28 (1999), 77-87.

 

47.                         Some random fixed point theorems in Frechet spaces (with L. A. Khan), New Zealand Journal of Mathematics, 28 (1999), 107-110.

 

48.                         Random fixed points of 1-set-contractive random maps in Frechet spaces (with L. A. Khan), Journal of Mathematical Analysis and Applications, 231 (1999), 68-75.

 

49.                        Continuous representations and derivations on locally C*-algebras (with N. Muhammad and M. Saleemi), International Journal of Mathematics, Game Theory and Algebra, 8 (1999), 187-193.

 

50.                         Common random fixed points of noncommuting random operators (with I. Beg), Random Operators and Stochastic Equations, 7 (1999), 367-372.

 

51.                         Random fixed points for several classes of 1-set-contractive and 1-ball-contractive random maps (with S. Latif), Journal of  Mathematical Analysis and Applications, 237 (1999), 83-92.

 

52.                         Random fixed point theorems for multivalued acyclic random maps (with L. A. Khan), Stochastic Analysis Applications, 17 (1999), 835-840.

 

53.                         An application of a random fixed point theorem to random best approximation (with I. Beg), Archiv der Mathematik, 74 (2000), 298-301.

 

54.                         Random approximations and random coincidence points of multivalued random maps with stochastic domain, New Zealand Journal of Mathematics, 29 (2000),  91-96.

 

55.                         Remarks on the extension of random contractions, Nonlinear Analysis, 42 (2000), 439-443.

 

56.                         Some common fixed point theorems for biased mappings (with S. Sahar), Archivum Mathematicum (Brno), 36 (2000), 183-194.

 

57.                         A random coincidence point theorem (with A. Latif), Journal of  Mathematical Analysis and Applications, 245 (2000), 633-638.

 

58.                         Some random fixed point theorems for 1-set-contractive random maps (with D. O’Regan), International Journal of Applied Mathematics, 4 (2000), 141-148.

 

59.                         Almost continuity vs closure continuity (with B. A. Saleemi and M. A. Al-ghamdi), Archivum Mathematicum (Brno), 37 (2001), 39-44.

 

60.                         Multiple random fixed points for multivalued random maps (with D. O’Regan), Dynamic Systems and Applications, 10 (2001), 1-10.

 

61.                         Invariant approximations and R-subweakly commuting maps, Journal of  Mathematical Analysis and Applications,  257 (2001), 39-45.

 

62.                         On R-subcommuting maps and best approximations in Banach spaces, Tamkang Journal of Mathematics, 32 (2001), 51-53.

 

63.                         Random fixed points of set-valued maps, Nonlinear Analysis, 45 (2001), 689-692.

 

64.                         The Bellman-Kalaba-Lakshmikantham method of quasilinearization for Neumann problem (with B. Ahmad and J. J. Nieto), Journal of  Mathematical Analysis and Applications, 257 (2001), 356-363.

 

65.                         Noncommuting maps and best approximations, Radovi Matematicki, 10 (2001), 77-83.

 

66.                         On s-almost open functions (with B. A. Saleemi and M. A. Alghamdi), Radovi Matematicki, 10 (2001), 95-100.

 

67.                         Derivations on locally C*-algebras (with N. Muhammad and M. Saleemi), New Zealand Journal of Mathematics, 30 (2001), 63-68.

 

68.                         Random fixed point theorems for 1-set-contractive multivalued random maps, Stochastic Analysis and  Applications,19 (2001), 857-862.

 

69.                         Coincidence points and R-weakly commuting maps (with T. Kamran), Archivum Mathematicum (Brno), 37 (2001), 179-183.

 

70.                         Random fixed points of multivalued maps in Frechet spaces, Archivum Mathematicum (Brno), 38 (2002), 95-100.

 

71.                         Generalized quasilinearization method for mixed boundary valued problems (with B. Ahmad and J. J. Nieto), Applied Mathematics and Computation, 133 (2002), 423-429.

 

72.                         Fixed points of biased mappings in complete metric spaces (with S. Sahar), Radovi Matematicki,11 (2002/03), 249-261.

 

73.                         Coincidence points of weakly inward f-contractions, Demonstratio Mathematica, 36 (2003), 173-177.

 

74.                         Random approximations and random fixed point theorems for 1-set-contractive random maps (with S. Latif), Stochastic Analysis Applications, 21 (2003), 885-908.

 

75.                         Coincidence points and R-subweakly commuting multivalued maps, Demonstratio Mathematica, 36 (2003), 427-431.

 

76.                         Remarks on invariant approximations, International Journal of Mathematics, Game Theory and Algebra, 13 (2003), 143-145.

 

77.                         Random fixed point theory in spaces with two metrics (with D. O’Regan and R. P. Agarwal), Journal of Applied Mathematics and Stochastic Analysis, 16 (2003), 171-176.

 

78.                         Approximation and fixed point theorems for countable condensing composite maps (with D. O’Regan), Bulletin of the Australian Mathematical Society, 68 (2003), 161-168.

 

79.                         Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps  (with D. O’Regan), Applicable Analysis, 82  (2003), 1055-1084.

 

80.                         Random fixed points of weakly inward multivalued random maps in Banach spaces (with B. C. Dhage),  Bulletin of the Korean Mathematical Society, 40 (2003), 517-581.

 

81.                        Common fixed point theory for compatible maps (with D. O’Regan and R. P. Agarwal), Nonlinear Analysis Forum, 8 (2003), 179-222.

 

82.                         Fixed point and approximation results for multimaps in S-KKM class, Nonlinear Analysis, 56 (2004), 905-918.

 

83.                         Generalized I-nonexpansive maps and best approximations in Banach Spaces, Demonstratio Mathematica, 37 (2004), 597-600.

 

84.                         Random fixed points of K–set- and pseudo-contractive random maps, Nonlinear Analysis, 57 (2004), 173-181.

 

85.                         Some general random coincidence point theorems, New Zealand Journal of Mathematics, 33 (2004), 95-103.

 

86.                         Random fixed points of pseudo-contractive random operators, Journal of  Mathematical Analysis and Applications, 296 (2004), 302-308.

 

87.                         Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense (with C. Chidume and H. Zegeye), Numerical Functional Analysis and Optimization, 25 (2004), 239-257.

 

88.                         Fixed point theory for generalized contractive maps of Meir-Keeler type (with  R. P. Agarwal and D. O’Regan), Mathematische Nachrichten, 276 (2004), 3-22.

 

89.                         Approximation and Leray-Schauder type results for Ukc maps, Topological Methods in Nonlinear Analysis, 24 (2004), 337-346.

 

90.                         On R-subweakly commuting maps and invariant approximations in Banach spaces, Georgian Mathematical Journal , 12 (2005),  157-162.

 

91.                         Invariant approximations, generalized I-contractions and R-subweakly commuting maps, Fixed Point Theory and Applications, 2005:1 (2005), 79-85.

 

92.                         Approximation and Furi-Pera type theorems for the S-KKM class (with D. O'Regan and R. P. Agarwal), Vietnam Journal of Mathematics, 32 (2004),  451-466.

 

93.                         Fixed points of multimaps which are not necessarily nonexpansive (with A. Lone), Fixed Point Theory and Applications, 2005:2 (2005), 169-176.

 

94.                         Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings (with C. E. Chidume and H. Zegeye), Fixed Point Theory and Applications, 2005:2 (2005), 233-241.

 

95.                         Approximating fixed points of non-self nonexpansive mappings in Banach spaces. Nonlinear Analysis, 61 (2005),  1031-1039.

 

96.                         Strong convergence of an implicit iteration process for a finite family of        nonexpansive mappings (with C. E. Chidume), Nonlinear Analysis, 62(2005),

     1149-1156.

 

97.                         Random fixed points of discontinuous random maps, Mathematical and Computer Modelling, 41 (2005), 1431-1436.

 

98.                         Invariant approximations for generalized I-contractions (with D. O’Regan),  Numerical Functional Analysis and Optimization, 26 (2005), 565-575.

 

99.                         On random coincidence point theorems, Topological Methods in Nonlinear 

     Analysis, 25 (2005), no. 2, 391-400.

 

100. Quasi-variational and minimax inequalities and collectively fixed point 

     results for S-KKM maps (with D. O'Regan and R. P. Agarwal),  Bulletin of 

     the Korean Mathematical Society, 42 (2005), no. 4, 739-756

 

101.  A Krasnoselskii cone compression result for multimaps in the S-KKM 

       class (with D. O'Regan and R. P. Agarwal), Publ. Inst. Math. (Beograd) 

       (N.S.) 77(91) (2005), 79-85

 

102. Random approximation and random fixed point theory for non-self       

       multimaps (with D. O’Regan), New Zealand Journal of Mathematics  

       34 (2005), 103-123.  

 

103. Remarks on almost locally connected spaces (with N. Al-malki),              

       Demonstratio Mathematica, 39 (2006), 219-222.

 

104. Common fixed points and homotopy results in gauge spaces, (A.          

   Alhomaidan) Panamerican Mathematical Journal, 16 (2006),  27-34.

 

105. Approximation and Leray-Schauder type results for multimaps in the

        S-KKM class, Bulletin of the Belgian Mathematical Society, 13 (2006),

        113-121.

 

106. Fixed point solutions of variational inequalities for asymptotically 

        nonexpansive mappings in Banach spaces (with A. Udomene), Nonlinear

        Analysis, 64 (2006), 558-567.

 

107. Approximating common fixed points for two asymptotically  quasi-

        nonexpansive mappings in Banach spaces (with A. Udomene),

       Fixed Point Theory and Applications, 2006, Art. ID 18909, 10 pp.

 

108. Coincidence points and best proximity pair results for R-subweakly

        commuting multimaps (with D. O’Regan), Demonstratio Mathematica

       Math. 39 (2006), 845-854.

 

109. Birkhoff-Kellogg and best proximity pair results (with D. O'Regan and R. P.

         Agarwal), Bulletin of the Belgian Mathematical Society 13 (2006), 645-655.

 

110. Noncommuting selfmaps and invariant approximations (with M.A. Al- 

        Thagafi), Nonlinear Analysis64 (2006), 2778-2786.

 

111. On stability results for φ-strongly pseudocontractive mappings (with H. 

        Zegeye) Nonlinear Analysis 64 (2006),  2619-2630.

 

112. Deterministic and random coincidence point results for f-nonexpansive

       maps (with N. Hussain) Journal of Mathematical Analysis and           

       Applications323 (2006),  1038-1046.

 

113. Approximating common fixed points of nonexpansive mappings in Banach 

        spaces (with R. Al-Dubiban), Georgian Mathematical Journal, 13 (2006),     

        529-537.

 

114. Convergence theorems for ψ-expansive and accretive mappings

    (with H. Zegeye) Nonlinear Analysis 66 (2007),  73-82.

 

115. Strong convergence theorems for a common zero of a finite family     

    of m-accretive mappings (with H. Zegeye) Nonlinear Analysis

    66 (2007),  1161-1169.

 

116. Coincidence points, generalized I-nonexpansive multimaps, and

   applications (with M. A. Al-Thagafi) Nonlinear Analysis,  67

   (2007), 2180-2188.

 

117.  Viscosity approximation methods for a common fixed point of

    finite family of  nonexpansive mappings (with H. Zegeye),  

    Applied Mathematics and Computation 191 (2007),  155-163.

 

118. Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps (with H. Zegeye), Applied Mathematics and Computation189 (2007), 1058-1065.

 

119. Viscosity approximation methods for pseudocontractive mappings in     

        Banach spaces (with H. Zegeye and T. Mekonen), Applied   

        Mathematics and Computation, 185 (2007), 538-546

 

120. Approximation methods for a common fixed point of a finite family of nonexpansive mappings (with H. Zegeye), Numerical Functional Analysis and Optimization, 28 (2007), 1-15.

 

121. Coincidence points and invariant approximation results for multimaps   

       (with D. O'Regan), Acta Matematica Sinica (Engl. Ser.) 23 (2007),

       1601-1610

 

 

 

122. Quasi-variational inequalities, coincidence and collectively fixed    

        points results for Uck maps (with D. O'Regan), Advances in Nonlinear  

       Variational Inequalities, 10 (2007), 1-20.

 

123.  Jordan and Left Derivations on Locally C*-algebras, Southeast Asian

        Bulletin of Mathematics, 31 (2007),  1183-1190.

 

124.  A best proximity pair theorem, Demonstratio Mathematica, 40 (2007),                  

        869-874.

 

125. Fixed point theory for generalized contractive maps on spaces with vector-  

        valued metrics (with D. O'Regan and R. P. Agarwal), Fixed point theory 

        and  applications, Vol. 6, 143-149, Nova   Sci. Publ., New York, 2007.

 

126. Convergence theorem for a common zero point of a finite family  of   

        σ- inverse strongly accretive mappings (with H. Zegeye), Journal of  

       Nonlinear and Convex Analysis, 9 (2008),  95-104.

 

127. Invariant approximations for commuting mappings in CAT(0) and

 hyperconvex spaces (with J. Markin)  Journal of Mathematical

Analysis and Applications, 337  (2008), 1457-1464.

 

128. Viscosity methods of approximation for a common fixed point of a   

        family of quasi-nonexpansive mappings (with H. Zegeye)   Nonlinear   

       Analysis, 68 (2008),  2005-2012.

 

129.  Strong convergence results for nonself multimaps in Banach spaces  

        (with H. Zegeye), Proceedings of the American Mathematical Society,

       136 (2008), 539-548.

 

130.  Generalized I-nonexpansive selfmaps and invariant approximations   

        (with M. A. Al-Thagafi), Acta Matematica Sinica (Engl. Ser.), 24   

          (2008), 867-876.

 

131. Random fixed point results for continuous pseudo-contractive random

        maps, Indian Journal of Mathematics, 50 (2008), 331-337.

 

132.  Banach operator pairs, common fixed-points, invariant     

        approximations, and * -nonexpansive multimaps (with M. A. Al-

   Thagafi), Nonlinear Analysis69 (2008), 2733-2739.

 

 

133.  Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups (with H. Zegeye), Nonlinear Analysis,  (in press).

 

134.  Fixed points for non-self operators and domain invariance theorems

       (with T. A. Lazăr, A. Petruşel), Nonlinear Analysis,  (in press).

 

135. Best proximity pairs and equilibrium pairs for Kakutani multimaps

       (with M.A. Al-Thagafi),  Nonlinear Analysis,  (in press). 

 

136. Best approximation theorems for nonexpansive and condensing
   mappings in hyperconvex spaces (with J. Markin), Nonlinear

        Analysis, (in press).

 

137. Fixed point results for set-valued contractions by altering distances in

        complete metric spaces (with H. K. Pathak), Nonlinear Analysis, (in

        press).

 

138. Strong convergence theorems for monotone mappings and relatively

       weak nonexpansive mappings (with H. Zegeye), Nonlinear Analysis,

       (in press).

 

139. Convergence and existence results for best proximity points (with M.  

       A. Al-Thagafi), Nonlinear Analysis, (in press).

 

140. Invariant approximations in CAT(0) spaces, Nonlinear Analysis, (in 

       press).

 

141. Strong convergence theorems for a common zero of a countably  

        infinite family of α-inverse strongly accretive mappings, (with H.

        Zegeye), Nonlinear Analysis, (in press).

 

142. On Mann and Ishikawa iteration schemes for multi-valued maps in

        Banach spaces (with H. Zegeye), Nonlinear Analysis, (in press).

 

143. Best proximity sets and equilibrium pairs for a finite family of  

        multimaps (with M. A. Al-Thagafi), Fixed Point Theory and

       Applications, (in press).

 

144. Gregus type fixed point results for tangential mappings satisfying
   contractive conditions of integral type (with H. K. Pathak), Bulletin of  

        the Belgian Mathematical Society, (in press).

 

·        Articles in Edited Volumes

 

 

1. Random approximations and random fixed point theorems for set-valued        

     random maps, Set Valued Mappings with Applications in Nonlinear Analysis    

     (Edited by R. P. Agarwal and D. O’Regan), 4 (2002), 425-429.

 

2.  On monotone sequences, fixed points and quadratic convergence (with V.    

     Lakshmikantham), “Nonlinear Mathematical Analysis and Applications   

     (Edited by T. M. Rassias) Hadronic Press Florida (1998), 101-107.

 

3.  Method of quasilinearization for boundary value problems for functional

differential equations (with V. Lakshmikantham), “Boundary Value Problems for Functional Differential Equations” (Edited by J. Henderson) World Scientific Singapore (1995), 209-214.


Last Update
11/8/2008 2:57:37 AM