Quadruple Best Proximity Points with Applications to Functional and Integral Equations

Author:

Hammad Hasanen A.12ORCID,Rashwan Rashwan A.3,Nafea A.2ORCID,Jarad Fahd456ORCID

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt

4. Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey

5. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

6. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

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