Document Type : Research Paper

Authors

• P. Cholamjiak
• S. Suantai

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

Abstract

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.

Keywords

• Generalized mixed equilibrium problem
• nonexpansive mappings
• Common fixed point
• strong convergence
• Generalized projection