Solving split generalized mixed equality equilibrium problems and split equality fixed point problems for nonexpansive-type maps

Abstract

"Let X be a 2-uniformly convex and uniformly smooth real Banach space. In this paper, an iterative algorithmofKrasnosel’skii-typeis constructed and used to approximate a common solution ofsplit generalized mixed equalityequilibrium problems(SGMEEP)andsplit equality fixed point problems(SEFPP)forquasi-ψ-nonexpansive maps.A strong convergence theorem of the sequence generated by this algorithm is proved without imposing anycompactness-type condition on either the operators or the space considered. The theorem proved improves andcomplements important recent results in the literature. "