2025 : 9 : 29

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
HYBRID METHOD FOR SOLVING PSEUDO-MONOTONE EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE
Type
JournalPaper
Keywords
Equilibrium problem, hybrid method, Bregman Lipschitz-type condition, pseudo-monotone bifunction, Legendre function.
Year
2025
Journal Nonlinear Functional Analysis and Applications
DOI
Researchers Roushanak Lotfikar ، Gholamreza Zamani Eskandani ، jong kyu kim

Abstract

In this article, we introduce two new algorithms for solving equilibrium problem involving pseudo-monotone and Bregman Lipschitz-type bifunction in reflexive Banach spaces. The algorithms are constructed around the extragradient method and the advantage of the algorithms is that it is done without the prior knowledge of Bregman Lipschitz coefficients. Theorems of strong convergence are established under mild conditions. Finally, a numerical experiments are reported to illustrate the efficiency of the proposed algorithm.