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2012 A New Hybrid Method for Equilibrium Problems, Variational Inequality Problems, Fixed Point Problems, and Zero of Maximal Monotone Operators
Yaqin Wang
J. Appl. Math. 2012: 1-21 (2012). DOI: 10.1155/2012/712651

Abstract

We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality, the set of solutions of the generalized mixed equilibrium problem, and zeros of maximal monotone operators in a Banach space. We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space. The results obtained in this paper improve and extend the result of Zeng et al. (2010) and many others.

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Yaqin Wang. "A New Hybrid Method for Equilibrium Problems, Variational Inequality Problems, Fixed Point Problems, and Zero of Maximal Monotone Operators." J. Appl. Math. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/712651

Information

Published: 2012
First available in Project Euclid: 15 March 2012

MathSciNet: MR2854981
zbMATH: 1235.65070
Digital Object Identifier: 10.1155/2012/712651

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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