An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities-Reference-Cited by-同舟云学术

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Published:2022-02-08 Issue: Volume:2022 Page:1-9
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Yin Tzu-Chien¹^ORCID,Wu Yan-Kuen²^ORCID,Wen Ching-Feng³⁴^ORCID

Affiliation:

1. Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

2. School of International Business, Shaoxing Key Laboratory of Intelligent Monitoring and Prevention of Smart City, Zhejiang Yuexiu University of Foreign Languages, Shaoxing City, Zhejiang, China

3. Center for Fundamental Science, Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan

4. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan

Abstract

In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator. Convergence theorems are shown under some mild conditions. Several corollaries are also obtained.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/8644675.pdf

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