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
THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE
Type
JournalPaper
Keywords
Bilevel equilibrium problem, Bregman Lipschitz-type condition, Strongly monotone, subgradient extragradient method.
Year
2023
Journal Nonlinear Functional Analysis and Applications
DOI
Researchers Roushanak Lotfikar ، gholamreza zamani eskandani ، jong kyu kim

Abstract

In this paper, we propose a new subgradient extragradient algorithm for finding a solution of monotone bilevel equilibrium problem in reflexive Banach spaces. The strong convergence of the algorithm is established under monotone assumptions of the cost bifunctions with Bregman Lipschitz-type continuous condition. Finally, a numerical experiments is reported to illustrate the efficiency of the proposed algorithm.