A Cyclic Method for Solutions of a Class of Split Variational Inequality Problem in Banach Space-Reference-Cited by-同舟云学术

A Cyclic Method for Solutions of a Class of Split Variational Inequality Problem in Banach Space

Published:2020-04-10 Issue: Volume:2020 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ali Bashir¹^ORCID,Adam Aisha A.²,Ibrahim Yusuf¹³^ORCID

Affiliation:

1. Bayero University, Department of Mathematical Sciences, Kano, Nigeria

2. African University of Science and Technology, Department of Mathematical Sciences, Abuja, Nigeria

3. Department of Mathematics, Sa’adatu Rimi College of Education, Kumbotso, Kano, Nigeria

Abstract

In this paper, a cyclic algorithm for approximating a class of split variational inequality problem is introduced and studied in some Banach spaces. A strong convergence theorem is proved. Some applications of the theorem are presented. The results presented here improve, unify, and generalize certain recent results in the literature.

Funder

African Capacity Building Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2020/7151953.pdf

Reference26 articles.

1. STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

2. On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities

3. Convergence analysis of a monotone projection algorithm in reflexive banach spaces

4. Schemes for finding minimum-norm solutions of variational inequalities

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