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2014 A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings
Ekkarath Thailert, Rabian Wangkeeree, Chanoksuda Khantree
J. Appl. Math. 2014(SI12): 1-8 (2014). DOI: 10.1155/2014/142671

Abstract

We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition for the bifunctions. Our results complement many known recent results in the literature.

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Ekkarath Thailert. Rabian Wangkeeree. Chanoksuda Khantree. "A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings." J. Appl. Math. 2014 (SI12) 1 - 8, 2014. https://doi.org/10.1155/2014/142671

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07131351
MathSciNet: MR3253611
Digital Object Identifier: 10.1155/2014/142671

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI12 • 2014
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