A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space
Functional Analysis
2023-04-21 v2
Abstract
In this paper, using a new shrinking projection method and generalized resolvents of maximal monotone operators and generalized projections, we consider the strong convergence for finding a common point of the fixed points of a Bregman quasi-nonexpansive mapping, and common fixed points of a infinite family of Bregman weak relatively nonexpansive mappings, and common zero points of a finite family of maximal monotone mappings, and common solutions of an equilibrium problem in a reflexive Banach space.
Keywords
Cite
@article{arxiv.2212.06409,
title = {A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space},
author = {Bijan Orouji and Ebrahim Soori and Donal O'Regan and Ravi P. Agarwal},
journal= {arXiv preprint arXiv:2212.06409},
year = {2023}
}
Comments
28 pages. arXiv admin note: substantial text overlap with arXiv:2107.13254