New Results for Weakly Compatible (WC) and R-Weakly Commuting (RWC) Mappings with an Applicationin Dynamic Programming

Author:

Murthy Penumarthy ParvateesamORCID,Kumar Sanjay,Kumar Rajesh,Sahu Pusplata,Mitrović Zoran D.ORCID,George RenyORCID

Abstract

The aim of this paper is to obtain some new results about common fixed points. Our results use weaker conditions than those previously used. We have relaxed the conditions for commutating pair mappings and compatible mappings of the type (A), which were introduced in 1976. The theorems are enriched by using the concept of WC and various types of weakly commuting pairs of maps in metric spaces. To discuss the existence and uniqueness of the common solutions, we have obtained an application to the functional equations in dynamic programming.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference19 articles.

1. Surles operations dans les ensembles abstraites et leursapplications;Banach;Fundam. Math.,1922

2. Über Abbildungen von Mannigfaltigkeiten;Brouwer;Math. Ann.,1912

3. Commuting mappings and fixed points;Jungck;Amer. Math. Mon.,1976

4. On a weak commutativity conditions of mappings in fixed point consideration;Sessa;Publ. Inst. Math.,1982

5. Compatible mappings and common fixed points;Jungck;Int. J. Math. Math. Sci.,1986

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