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Roushanak Lotfikar

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Basic Science
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Research

Title
A new algorithm for finding fixed points of Bregman asymptotically regular quasi-nonexpansive mapping and solutions of equilibrium problems
Type
JournalPaper
Keywords
Bregman asymptotically quasi-nonexpansive mapping; equilibrium problem; Bregman Lipschitz-type condition; maximal monotone operator; resolvent.
Year
2022
Journal ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
DOI
Researchers Roushanak Lotfikar ، Gholamreza Zamani Eskandani

Abstract

In this paper, we propose a new algorithm for finding a common element of the set of fixed points of Bregman asymptotically regular quasi-nonexpansive mappings and the set of zeros of maximal monotone mappings and the set of solutions of equilibrium problems for pseudomonotone and Bregman Lipschitz-type continuous bifunctions in reflexive Banach spaces. Moreover, the strong convergence of the sequence generated by this algorithm is established under some suitable conditions