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

### Abstract

carpathian_2020_36_1_119_126_abstract

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 quasinonexpansive 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.