Convergence analysis of an iterative algorithm for Bregman relatively nonexpansive mappings and Bregman nonspreading mappings in reflexive Banach spaces.
Journal of Nonlinear and Convex Analysis. An International Journal (J. Nonlinear Convex Anal.) (20220101), 23, no.~12, 2723-2732. ISSN: 1345-4773 (print).eISSN: 1880-5221.
Subject
47 Operator theory -- 47H Nonlinear operators and their properties 47H05 Monotone operators and generalizations 47H09 Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Summary: ``In this paper, we investigate iterative methods for finding fixed points of Bregman relatively nonexpansive mappings and Gregman nonspreading mappings in Banach spaces. We construct an iterative algorithm which can be used to find fixed points of Bregman relatively nonexpansive mappings and Bregman nonspreading mappings in the framework of reflexive Banach spaces. we provide convergence analysis of the proposed algorithm. our results improve and extend many known results in the literature.''