Convergence analysis of an iterative method for solving multiple-set split feasibility problems in certain Banach spaces

Abstract

Our purpose in this paper is to introduce an iterative scheme for solving multiple-set split feasiblity problems in p-uniformly convex Banach spaces which are also uniformly smooth using Bregman distance techniques. We further obtain a strong convergence result for approximating solutions of multiple-set split feasiblity problems in the framework of p-uniformly convex Banach spaces which are also uniformly smooth.

Key words: Bregman distance, Bregman projection, multiple set split feasibility problems,
p-uniformly convex Banach space, duality mapping.