A new hybrid algorithm for solving a system of generalized mixed equilibrium problems, solving a family of quasi-\(\varphi\)-asymptotically nonexpansive mappings, and obtaining common fixed points in Banach space (Q554776)

Summary: The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, the set of common fixed points of a family of quasi-\(\varphi\)-asymptotically nonexpansive mappings, and null spaces of a finite family of \(\gamma\)-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.