Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings

Autor:	Roushanak Lotfikar, Gholamreza Zamani Eskandani, Jong-Kyu Kim, Michael Th. Rassias
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	equilibrium problem pseudomonotone bifunction Bregman–Lipschitz-type continuity subgradient extra-gradient method Legendre function Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 23, p 4821 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11234821
Popis:	In this article, we introduce a new subgradient extra-gradient algorithm to find the common element of a set of fixed points of a Bregman relatively nonexpansive mapping and the solution set of an equilibrium problem involving a Pseudomonotone and Bregman–Lipschitz-type bifunction in reflexive Banach spaces. The advantage of the algorithm is that it is run without prior knowledge of the Bregman–Lipschitz coefficients. Finally, two numerical experiments are reported to illustrate the efficiency of the proposed algorithm.
Databáze:	Directory of Open Access Journals
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