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A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems.

Authors :
Sunthrayuth, Pongsakorn
Kumam, Poom
Source :
Abstract & Applied Analysis; 2012, p1-39, 39p
Publication Year :
2012

Abstract

We introduce a new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, zero set of the sum of a maximal monotone operators and inverse-strongly monotone mappings, and the set of common fixed points of an infinite family of nonexpansive mappings with infinite real number. Furthermore, we prove under some mild conditions that the proposed iterative algorithm converges strongly to a common element of the above four sets, which is a solution of the optimization problem related to a strongly positive bounded linear operator. The results presented in the paper improve and extend the recent ones announced by many others. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10853375
Database :
Complementary Index
Journal :
Abstract & Applied Analysis
Publication Type :
Academic Journal
Accession number :
85039398
Full Text :
https://doi.org/10.1155/2012/316276