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arXiv · 2212.06409

A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space

Bijan Orouji·Ebrahim Soori·Donal O'Regan·Ravi P. Agarwal
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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.

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Bijan Orouji, Ebrahim Soori, Donal O'Regan, Ravi P. Agarwal. 2022-12-13. A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space. https://arxiv.org/abs/2212.06409

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