Article

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

Published in: Quaestiones Mathematicae
Volume 41 , issue 1 , 2018 , pages: 129–148

DOI: 10.2989/16073606.2017.1375569

Author(s): O.T. Mewomo School of Mathematics, Statistics and Computer Science, South Africa , F.U. Ogbuisi School of Mathematics, Statistics and Computer Science, South Africa

Keywords: 47H06 , 47H09 , 47J05 , 47J25 , 47H06 , 47H09 , 47J05 , 47J25

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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.

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