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.

Mathematics Subject Classification (2010):

• 47H06
• 47H09
• 47J05
• 47J25

Key words:

• Bregman distance
• Bregman projection
• multiple set split feasibility problems
• p-uniformly convex Banach space
• duality mapping