Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Space

Author:

Fahad Aldosary Saud1,Cholamjiak Watcharaporn2ORCID,Ali Rehan3ORCID,Farid Mohammad4ORCID

Affiliation:

1. Department of Mathematics, College of Arts and Sciences, Wadi Al-Dawasir, Prince Sattam Bin Abdulaziz University, Saudi Arabia

2. School of Science, University of Phayao, Mae Ka 56000, Phayao, Thailand

3. Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

4. Department of Mathematics, Deanship of Educational Services, Qassim University, Buraidah 51452, Al-Qassim, Saudi Arabia

Abstract

In this paper, we consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems and also prove some properties for the solution set of generalized mixed variational-like inequality problem. Furthermore, we introduce and study an inertial hybrid iterative method for solving the generalized mixed variational-like inequality problem involving Bregman relatively nonexpansive mapping in Banach space. We study the strong convergence for the proposed algorithm. Finally, we list some consequences and computational examples to emphasize the efficiency and relevancy of the main result.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference44 articles.

1. On variational-like inequalities with generalized monotone mappings;V. Preda;Generalized Convexity and Related Topics, Lecture Notes in Economics and Mathematical Systems,2006

2. Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems

3. Hybrid projection methods for the general variational-like inequality problems;N. K. Mahato;Journal of Advanced Mathematical Studies,2013

4. General nonlinear mixed variational-link inequalities

5. A variational-like inequality problem

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3