A New Hybrid Algorithm for a System of Generalized Mixed Equilibrium Problems and Fixed Point of Quasi-ϕ-Asymptotically Nonexpansive Mappings

الملخص EN

The purpose of this paper is to use a new hybrid algorithm for finding a common element of the set of solutions for a system of generalized mixed equilibrium problems and the set of common fixed points for an infinite family of quasi-ϕ-asymptotically nonexpansive mappings.

Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property.

The results presented in the paper improve and extend some recent results.