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

Let be a -uniformly convex and uniformly smooth real Banach space. In this paper, an iterative algorithm of \textit{Krasnosel’skii-type} is constructed and used to approximate a common solution of split generalized mixed equality equilibrium problems and split equality fixed point problems for quasi––nonexpansive maps. A strong convergence theorem of the sequence generated by this algorithm is proved without imposing any compactness-type condition on either the operators or the space considered.
The theorem proved improves and complements important recent results in the literature.