An Algorithm for Approximation of Solutions of Nonlinear Split Equality Mixed Problems

A.C.  Nnubia; A.C.  Nduaguibe; C.  Moore

A.C. Nnubia Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria
A.C. Nduaguibe Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria
C. Moore Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria

Keywords: Quasi-nonexpansive maps, Split equality Fixed point problem, η-demimetric mappings, Strong convergence, Iterative algorithm

Abstract

In this paper, we construct an iterative algorithm with a step-size which is independent of the norm of the operators that approximates a common fixed point in: the set of solutions of SEFPP involving η-demimetric maps, the set of common zeros of finite families of inverse strongly monotone maps, the set of common solutions of systems of generalized mixed equilibrium problems, and the set of common fixed points of infinite families of quasi-nonexpansive maps. We establish in real Hilbert spaces, strong convergence of the sequence generated by our algorithm to a solution of the problem under consideration.

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