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Peer-Reviewed Article October 31, 2009

A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem

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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
DOI: https://doi.org/10.1155/2010/383740

Abstract

Abstract We propose a modified hybrid projection algorithm to approximate a common fixed point of a "Equation missing"-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.

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