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1. Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators

Author

Wang, Yaqin, Xu, Hong-Kun, and Yin, Ximing

Abstract

A new iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, the set of common fixed points of two countable families of weak relatively nonexpansive mappings and the set of zeros of a maximal monotone operator in Banach spaces. The results obtained in this paper generalize and improve upon some existing results in recent literature.

Published
2012
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