Strong convergence theorems for split variational inequality problems in Hilbert spaces-Reference-Cited by-同舟云学术

Strong convergence theorems for split variational inequality problems in Hilbert spaces

Published:2023 Issue:11 Volume:8 Page:27291-27308
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sun Wenlong¹²³,Lu Gang⁴,Jin Yuanfeng²,Peng Zufeng⁵

Affiliation:

1. Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110870, China

2. Department of Mathematics, Yanbian University, Yanji 133001, China

3. Liaoning Provincial Key Laboratory of Composite Metal Nanomaterials and Magnetic Technology, Shenyang University of Technology, Shenyang 110870, China

4. Division of Foundational Teaching, Guangzhou College of Technology and Business, Guangzhou 510850, China

5. Department of Mathematics, School of Science, Northeastern University, Shenyang 110819, China

Abstract

<abstract><p>In this paper, we consider the variational inequality problem and the split common fixed point problem. Considering the common fixed points of an infinite family of nonexpansive mappings, instead of just the fixed point of one nonexpansive mapping, we generalize the results of Tian and Jiang. By removing a projection operator, we improve the efficiency of our algorithm. Finally, we propose a very simple modification to the extragradient method, which gives our algorithm strong convergence properties. We also provide some numerical examples to illustrate our main results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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