Title: Fixed points of Bregman relatively nonexpansive mappings and solutions of variational inequality problems.
Authors: Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu
Abstract: In this paper, we propose an iterative scheme for finding a common point of the fixed point set of a Bregman relatively nonexpansive mapping and the solution set of a variational inequality problem for a continuous monotone mapping. We prove a strong convergence theorem for the sequences produced by the method. Our results improve and generalize various recent results.
Subjects: NONEXPANSIVE mappings; VARIATIONAL inequalities (Mathematics); MONOTONE operators
Publication: Journal of Nonlinear Sciences & Applications (JNSA), 2016, Vol 9, Issue 5, p2541
ISSN: 2008-1898
Publication type: Academic Journal
DOI: 10.22436/jnsa.009.05.52

Fixed points of Bregman relatively nonexpansive mappings and solutions of variational inequality problems.

Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu