Viscosity-type method for solving pseudomonotone equilibrium problems in a real Hilbert space with applications

The aim of this article is to introduce a new algorithm by integrating a viscosity-type method with the subgradient extragradient algorithm to solve the equilibrium problems involving pseudomonotone and Lipschitz-type continuous bifunction in a real Hilbert space. A strong convergence theorem is pro...

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Vydané v:	AIMS mathematics Ročník 6; číslo 2; s. 1538 - 1560
Hlavní autori:	ur Rehman, Habib, Kumam, Poom, Sitthithakerngkiet, Kanokwan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2021
Predmet:	equilibrium problem fixed point problems lipschitz-like conditions strong convergence variational inequality problem
ISSN:	2473-6988, 2473-6988
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Popis
Shrnutí:	The aim of this article is to introduce a new algorithm by integrating a viscosity-type method with the subgradient extragradient algorithm to solve the equilibrium problems involving pseudomonotone and Lipschitz-type continuous bifunction in a real Hilbert space. A strong convergence theorem is proved by the use of certain mild conditions on the bifunction as well as some restrictions on the iterative control parameters. Applications of the main results are also presented to address variational inequalities and fixed-point problems. The computational behaviour of the proposed algorithm on various test problems is described in comparison to other existing algorithms.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2021093