A simultaneous Bregman projection methods for solving mixed split equality problems and fixed point problems in p-uniformly convex and uniformly smooth Banach spaces

In this article, a simultaneous Bregman projection scheme is introduced to approximate a common element of the set of fixed points of left Bregman strongly nonexpansive mapping and the set of solutions of mixed split equality problems in p(p ≥ 2)- uniformly convex and uniformly smooth Banach spaces. We obtain the weak convergence theorem of the sequences generated by our scheme under some appropriate conditions. Furthermore, we apply our iterative algorithms to the split feasibility problem. Finally, several numerical results are shown to confirm the feasibility of the proposed methods. Our result presented in the article are new and improve and extend some recent corresponding results.