Fixed point approximations of noncommutative generic 2-generalized Bregman nonspreading mappings with equilibriums

Abstract

In this paper, a Halpern type iterative scheme for finding a common element in the set of fixed points of generic 2generalized Bregman nonspreading mappings and the solution set of equilibrium problem have been proposed. We also prove that the sequence generated by the scheme converges strongly to the element in a real reflexive Banach space. Our results improve and generalize some announced results in the literature.