Convergence analysis of common solution of certain nonlinear problems
Ferdinard Udochukwu Ogbuisi, Oluwatosin Temitope Mewomo · Fixed Point Theory · 2018
We introduce an iterative algorithm for approximating a common fixed point of an infinite family of left Bregman strongly nonexpansive mappings which is also a common solution of a finite system of generalized mixed equilibrium problems and a common zero of a finite family of maximal monotone operators in a reflexive real Banach space. A strong convergence theorem is also proved for finding an element in the intersection of the set of solution of a fixed point problem for infinite family of left Bregman strongly nonexpansive mappings, the set of solutions of a system of generalized mixed equilibrium problems and the set of zero points of a finite family of maximal monotone operators in a reflexive real Banach space. The result of this paper complement many related and important results in the literature.