Split equality common null point problem for Bregman quasi-nonexpansive mappings

Abstract

In this paper, we introduce a new algorithm for solving the split equality common null point problem and the equality fixed point problem for an infinite family of Bregman quasi-nonexpansive mappings in reflexive Banach spaces. We then apply this algorithm to the equality equilibrium problem and the split equality optimization problem. In this way, we improve and generalize the result of Takahashi and Yao [22], Byrne et al [9], Dong et al [11], and sitthithakerngkiet et al [21].