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 finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely 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.