Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space-Reference-Cited by-同舟云学术

Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

Published:2024-05-08 Issue: Volume:2024 Page:1-17
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Suwannaut Sarawut¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 52100, Thailand

Abstract

In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational inequality problems is established. Furthermore, numerical examples are given to support the main theorem.

Funder

Lampang Rajabhat University

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jmath/2024/7793048.pdf

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