Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2012; 27(3): 505-512

Printed September 1, 2012

https://doi.org/10.4134/CKMS.2012.27.3.505

Copyright © The Korean Mathematical Society.

Weak convergence theorems for equilibrium problems and nonexpansive mappings and nonspreading mappings in Hilbert spaces

Li Jiang and Yongfu Su

Tianjin Polytechnic University, Tianjin Polytechnic University

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

MSC numbers: 47H05, 47H09, 47H10