Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings-Reference-Cited by-同舟云学术

Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings

Published:2022-12-23 Issue: Volume:41 Page:1-14
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Abass Hammed Anuoluwapo,Mewomo Oluwatosin T.

Abstract

In this paper, we introduce a viscosity-type extragradient algorithm for finding a common point of the solution of a pseudomonotone equilibrium problem and a fixed point problem of an infinite family of multi-valued quasi-nonexpansive mappings in real Hilbert space. Using our algorithm, we state and prove a strong convergence result of our iteration sequences. An application to variational inequality problem was considered. Lastly, we give a numerical example of our main result. The result presented in this paper extends and complements some recent results in literature.

Funder

National Research Foundation

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference32 articles.

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