Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

Authors

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Abstract

We introduce a new iterative scheme for nding a common element
of the solutions set of a generalized mixed equilibrium problem and the xed
points set of an in nitely countable family of nonexpansive mappings in a Banach
space setting. Strong convergence theorems of the proposed iterative scheme are
also established by the generalized projection method. Our results generalize the
corresponding results in the literature.

Keywords