A new hybrid algorithm for a system of generalized mixed equilibrium problems and fixed point of quasi-\(\phi\)-asymptotically nonexpansive mappings (Q642847)

Summary: 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-\(\phi\)-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.