A self-adaptive extragradient method for fixed-point and pseudomonotone equilibrium problems in Hadamard spaces

Autor:	Kazeem Olalekan Aremu, Lateef Olakunle Jolaoso, Olawale Kazeem Oyewole
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Extragradient method Equilibrium problems Common fixed point Pseudomontone Hadamard spaces Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-22 (2023)
Druh dokumentu:	article
ISSN:	2730-5422
DOI:	10.1186/s13663-023-00742-1
Popis:	Abstract In this work, we study a self-adaptive extragradient algorithm for approximating a common solution of a pseudomonotone equilibrium problem and fixed-point problem for multivalued nonexpansive mapping in Hadamard spaces. Our proposed algorithm is designed in such a way that its step size does not require knowledge of the Lipschitz-like constants of the bifunction. Under some appropriate conditions, we establish the strong convergence of the algorithm without prior knowledge of the Lipschitz constants. Furthermore, we provide a numerical experiment to demonstrate the efficiency of our algorithm. This result extends and complements recent results in the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c1540a75c1fd41158c6ba06dd9e8eb5b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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