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On the convergence of the Ishikawa iterates to a common fixed point of multivalued mappings

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Języki publikacji
EN
Abstrakty
EN
Let C be a nonempty convex and closed subset of a normed linear space X and CB{C) be a family of all nonempty closed and bounded, not necessarily compact subsets of C. In this paper the convergence of the Ishikawa iterates to a common fixed point of a pair of multivalued mappings S, T : C - CB(C) which satisfy a very general condition (3) below, is considered.
Wydawca
Rocznik
Strony
951--956
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • University of Belgrade, Alek. Rudara 12-35, 11080 Belgrade
autor
  • Dept. of Mathematics, Changwon National University, Changwon 641-773, Korea
Bibliografia
  • [1] Lj. B. Ćirić, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267-273.
  • [2] Lj. B. Ćirić, Quasi-contractions in Banach spaces, Publ. Inst. Math. (Beograd), 21 (35) (1977), 41-48.
  • [3] Lj. B. Ćirić, Common fixed points of nonlinear contractions, Acta Math. Hungar. 80 (1998), 31-38.
  • [4] K. M. Ghosh, A note on a theorem of Rhoades, Mat. Sem. Notes, Kobe Univ. 8 (1980), 505-507.
  • [5] T. Hu, J. C. Huang, B. E. Rhoades, A general principle for Ishikawa iterations for multi-valued mappings, Indian J. Pure Appl. Math. 28(8) (1997), 1091-1098.
  • [6] S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150.
  • [7] I. Kubiaczyk, Mostafa Ali, On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings, Acta Math. Hungar. 75 (1997), 253-257.
  • [8] W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
  • [9] S. A. Naimpally, K. L. Singh, Extensions of some fixed point theorems of Rhoades, J. Math. Anal. Appl. 96 (1983), 437-446.
  • [10] R. A. Rashwan, On the convergence of the Mann iterates to a common fixed point for a pair of mappings, Demonstratio Math. 23 (1990), 709-712.
  • [11] R. A. Rashwan, On the convergence of the Ishikawa iterates to a common fixed point for a pair of mappings, Demonstratio Math. 28 (1995), 271-274.
  • [12] B. K. Ray, On an extension of a theorem of Ljubomir Ćirić, Indian J. Pure Appl. Math. 10 (1979), 145-146.
  • [13] B. E. Rhoades, Extensions of some fixed point theorems of Ćirić, Maiti and Pal, Math. Seminar. Notes, Kobe Univ. 6 (1978), 41-46.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0008-0018
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