• Title/Summary/Keyword: Bregman Lipschitz-type condition

Search Result 1, Processing Time 0.014 seconds

THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

  • Roushanak Lotfikar;Gholamreza Zamani Eskandani;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • v.28 no.2
    • /
    • pp.337-363
    • /
    • 2023
  • 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.