Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators-Reference-Cited by-同舟云学术

Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators

Published:2021-04-12 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Yao Zhangsong¹,Wu Yan-Kuen²^ORCID,Wen Ching-Feng³⁴^ORCID

Affiliation:

1. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China

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

3. Center for Fundamental Science and 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

Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show that the proposed algorithm has strong convergence under some mild conditions.

Funder

Ministry of Science and Technology of the People's Republic of China

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6635026.pdf

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