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Coincidence points and R-subweakly commuting multivalued maps

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Języki publikacji
EN
Abstrakty
EN
The notion of R-subweakly commuting multivalued mappings is defined. Some coincidence point theorems for such mappings are proved. Thus several related results in the literature are extended to a new class of noncommuting mappings.
Wydawca
Rocznik
Strony
427--431
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Department of Mathematics, King Abdul Aziz University, P.O. Box. 80203, Jeddah 21589, Saudi Arabia
Bibliografia
  • [1] I. Beg and A. Azam, Fixed points of asymptotically regular multivalued mappings, J. Austral. Math. Soc. (Series A), 53 (1992), 313-326.
  • [2] H. F. Bohnenblust and S. Karlin, On a theorem of Ville Contributions to the theory of games, (Edited by Kuhn and Tucker, University Press, Princeton), 1 (1950), 155-160.
  • [3] P. Z. Daffer and H. Kaneko, Multivalued f-contractive mappings, Boll. Un. Mat. Ital., 7 (1994), 233-241.
  • [4] W. G. Dotson, Jr., Fixed point theorems for nonexpansive mappings on starshaped subsets of Banach spaces, J. London Math. Soc., 4 (1972), 408-410.
  • [5] S. Itoh and W. Takahashi, Single-valued mappings, multivalued mappings and fixed point theorems, J. Math. Anal. Appl., 59 (1977), 514-521.
  • [6] G. Jungck and S. Sessa, Fixed point theorems in best approximation theory, Math. Japonica, 42 (1995), 249-252.
  • [7] S. Kakutani, A generalization of Brouwer fixed point theorem, Duke Math. J., 8 (1941), 457-459.
  • [8] H. Kaneko, Single-valued and multivalued f-contractions, Boll. Un. Mat. Ital., 6 (1985), 29-33.
  • [9] E. Lami Dozo, Multivalued nonexpansive mappings and Opial's condition, Proc. Amer. Math. Soc., 38 (1973), 286-292.
  • [10] A. Latif and I. Tweddle, On multivalued f-nonexpansive maps, Demonstratio Math., 32 (1999), 565-574.
  • [11] N. Mizoguchi and W. Takahashi, Fixed point theorem for multivalued mappings on complete metric spaces, J. Math. Anal. Appl., 141 (1989), 177-188.
  • [12] S. B. Nadler, Jr., Multivalued contraction mappings, Pacific J. Math., 30 (1969), 475-488.
  • [13] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597.
  • [14] B. E. Rhoades and L. Saliga, Common fixed points and best approximations, (preprint).
  • [15] N. Shahzad, Invariant approximations and R-subweakly commuting maps, J. Math. Anal. Appl., 257 (2001), 39-45.
  • [16] N. Shahzad and T. Kamran, Coincidence points and R-weakly commuting maps, Arch. Math. (Brno), 37 (2001), 179-183.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0009-0012
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