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In this paper, we obtain a couple of weak convergence results for nonself nearly asymptotically nonexpansive mappings. Our first result is for the Banach spaces satisfying Opial condition and the second for those whose dual satisfies the Kadec-Klee property.
Wydawca
Czasopismo
Rocznik
Tom
Strony
371--381
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
- Department of Mathematics, Statistics and Physics Qatar University Doha 2713, Qatar
Bibliografia
- [1] R. P. Agarwal, D. O’Regan, D. R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J. Nonlinear Convex. Anal. 8(1) (2007), 61–79.
- [2] C. Chidume, E. U. Ofoedu, H. Zegeye, Strong and weak convergence theorems for asymptotically nonexpansive mappings, J. Math. Anal. Appl. 280 (2003), 364–374.
- [3] J. G. Falset, W. Kaczor, T. Kuczumow, S. Reich, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 43 (2001), 377–401.
- [4] K. Goebel, W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990.
- [5] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 595–597.
- [6] M. O. Osilike, S. C. Aniagbosor, G. Akuchu, Fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces, Panamer. Math. J. 12 (2002), 77–88.
- [7] H. K. Pathak, Y. J. Cho, S. M. Kang, Strong and weak convergence theorems for nonselfasymptotically perturbed nonexpansive mappings, Nonlinear Anal. 70(5) (2009), 1929–1938.
- [8] J. Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull. Austral. Math. Soc. 43 (1991), 153–159.
- [9] S. Thianwan, Common fixed points of new iterations for two asymptotically nonexpansive nonselfmappings in a Banach space, J. Comput. Appl. Math. 224(2) (2009), 688–695.
- [10] L. Wang, Strong and weak convergence theorems for common fixed point of nonself asymptotically nonexpansive mappings, J. Math. Anal. Appl. 323(1) (2006), 550–557.
- [11] L. Yang, Modified multistep iterative process for some common fixed point of a finite family of nonself asymptotically nonexpansive mappings, Math. Comput. Modelling 45(9-10) (2007), 1157–1169.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7fc2114e-c468-4e12-af60-a285ccf59092