An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems

Lijuan Zhang, Hui Tong

Abstract

In this paper, we introduce a viscosity iterative scheme for finding a common element of the set of common fixed points of a one-parameter nonexpansive semigroup, the set of solutions to variational inclusions and the set of solutions to generalized equilibrium problems in a real Hilbert space. Strong convergence theorems for the common element are obtained.
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How to Cite this Article

Lijuan Zhang, Hui Tong, An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems, Adv. Fixed Point Theory, 4 (2014), 325-343

Copyright © 2014 Lijuan Zhang, Hui Tong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.