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APPROXIMATION METHODS FOR FINITE FAMILY OF NONSPREADING MAPPINGS AND NONEXPANSIVE MAPPINGS IN HILERT SPACESE  

Kang, Jinlong (Department of Mathematics, Tianjin Polytechnic University, Department of Foundation, Xi'an Communication of Institute)
Su, Yongfu (Department of Mathematics, Tianjin Polytechnic University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 87-98 More about this Journal
Abstract
The purpose of this paper is to prove a weak convergence theorem for a common fixed points of finite family of nonspreading mappings and nonexpansive mappings in Hilbert spaces. The results presented in this paper extend and improve the results of Mondafi [A. Moudafi, Krasnoselski-Mann iteration for hierarchical fixed-point problems, Inverse Problems 23 (2007) 1635-1640], and Iemoto and Takahashi [So Iemoto, W.Takahashi, Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space, Nonlinear Analysis (2009), doi:10.1016/j.na.2009.03.064].
Keywords
Nonexpansive mapping; nonspreading mapping; Hilbert space; fixed point;
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1 A. Moudafi, Krasnoselski-Mann iteration for hierarchical fixed-point problems, Inverse Problems 23 (2007) 1635-1640.   DOI   ScienceOn
2 W.Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, 2000.
3 W. Takahashi, Introduction to Nonlinear and Convex Analysis, Yokohama Publishers, Yokohama, 2005 (in Japanese).
4 W. Takahashi, Convex Analysis and Approximation of Fixed Points, Yokohama Publishers, Yokohama, 2000 (in Japanese).
5 K.K.Tan, H.K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993) 301-308.   DOI   ScienceOn
6 S. Iemoto, W.Takahashi, Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space, Nonlinear Analysis (2009), doi:l0.l016jj.na.2009.03.064.
7 W. Takahashi, T. Tamura, Convergence theorems for a pair of nonexpansive mappings, J. Convex Anal. 5 (1998) 45-56.
8 K.Goebel, W.A. Kirk, Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990.
9 K. Goebel, S.Reich, Uniform Convexity,Hyperbolic Geometry, and Nonexpansive Mappings, Marcel Dekker Inc., New York, 1984.
10 F.Kohsaka, W. Takahashi, Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators Banach spaces, Arch. Math. 91 (2008) 166-177.   DOI   ScienceOn
11 F.E. Browder, Convergence theorems for sequences ofnonlinear operators in Banachspaces, Math. Z. 100 (1967) 201-225.   DOI