Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings |
| |
Authors: | Somyot Plubtieng Poom Kumam |
| |
Affiliation: | 1. Department of Mathematics, Naresuan University, Phitsanulok 65000, Thailand;2. Department of Mathematics, King Mongkut’s University of Technology Thonburi, Bang-Mod, Bangkok 10140, Thailand |
| |
Abstract: | In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone mapping. We obtain a weak convergence theorem for a sequence generated by this process. Moreover, we apply our result to the problem for finding a common element of the set of equilibrium problems and the set of solutions of the variational inequality problem of a monotone mapping. |
| |
Keywords: | Nonexpansive mapping Monotone mapping Equilibrium problem Variational inequality Accretive operator Fixed point problem |
本文献已被 ScienceDirect 等数据库收录! |