[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2012.27.3.505

WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS AND NONSPREADING MAPPINGS IN HILBERT SPACES

Jiang, Li (Department of Mathematics Tianjin Polytechnic University)
Su, Yongfu (Department of Mathematics Tianjin Polytechnic University)

Publication Information

Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 505-512 More about this Journal

Abstract

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mappings and nonspreading mappings and the set of solution of an equilibrium problem on the setting of real Hilbert spaces.

Keywords

nonexpansive mappings; nonspreading mappings; fixed points; equilibrium problem;

Citations & Related Records

Reference

1	K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003), no. 2, 372-378. DOI ScienceOn
2	A. Tada and W. Takahashi, Strong convergence theorem for an equilibrium problem and a nonexpansive mapping, Nonlinear analysis and convex analysis, 609-617, Yokohama Publ., Yokohama, 2007.
3	A. Tada and W. Takahashi, Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem, J. Optim. Theory Appl. 133 (2007), no. 3, 359-370. DOI
4	W. Takahashi, Fixed point theorems for new nonlinear mappings in a Hilbert space, J. Nonlinear Convex Anal. 11 (2010), no. 1, 79-88.
5	F. Kohsaka and W. Takahashi, Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces, Arch. Math. 91 (2008), no. 2, 166-177. DOI
6	Y. Kurokawa andW. Takahashi, Weak and strong convergence theorems for nonspreading mappings in Hilbert space, Nonlinear Anal. 73 (2010), no. 6, 1562-1568. DOI ScienceOn
7	S. Matsushita and W. Takahashi, A strong convergence theorem for relatively nonexpan- sive mappings in a Banach space, J. Approx. Theory 134 (2005), no. 2, 257-266. DOI ScienceOn