Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

Autor:	Uzor Victor Amarachi, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	tseng’s extragradient method pseudomonotone demicontractive variational inequalities fixed point strong convergence adaptive step size inertial technique 65k15 47j25 65j15 90c33 Mathematics QA1-939
Zdroj:	Open Mathematics, Vol 20, Iss 1, Pp 234-257 (2022)
Druh dokumentu:	article
ISSN:	2391-5455 2022-0030
DOI:	10.1515/math-2022-0030
Popis:	In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings. We introduce a new inertial iterative scheme that combines Tseng’s extragradient method with the viscosity method together with the adaptive step size technique for finding a common solution of the investigated problem. We prove a strong convergence result for our proposed algorithm under mild conditions and without prior knowledge of the Lipschitz constant of the pseudomonotone operator in Hilbert spaces. Finally, we present some numerical experiments to show the efficiency of our method in comparison with some of the existing methods in the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/05561771580a4c78933bd776518d6706 Zobrazit plný text záznamu View record in DOAJ