Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
Yekini Shehu, Ferdinard Udochukwu Ogbuisi · Journal of Applied Analysis · 2015
Abstract In this paper we propose an iterative algorithm based on the hybrid method in mathematical programming for approximating a common fixed point of an infinite family of left Bregman strongly nonexpansive mappings which also solves a finite system of equilibrium problems in a reflexive real Banach space. We further prove that our iterative sequence converges strongly to a common fixed point of an infinite family of left Bregman strongly nonexpansive mappings which is also a common solution to a finite system of equilibrium problems. Our result extends many recent and important results in the literature.