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


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


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.