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2011 A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem
Atid Kangtunyakarn
Abstr. Appl. Anal. 2011: 1-24 (2011). DOI: 10.1155/2011/562689

Abstract

We introduce a new iterative scheme and a new mapping generated by infinite family of nonexpansive mappings and infinite real number. By using both of these ideas, we obtain strong convergence theorem for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of fixed-point problems of infinite family of nonexpansive mappings. Moreover, we apply our main result to obtain strong convergence theorems for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of common fixed point of pseudocontractive mappings.

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Atid Kangtunyakarn. "A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem." Abstr. Appl. Anal. 2011 1 - 24, 2011. https://doi.org/10.1155/2011/562689

Information

Published: 2011
First available in Project Euclid: 12 August 2011

MathSciNet: MR2786859
zbMATH: 1216.65066
Digital Object Identifier: 10.1155/2011/562689

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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