Some common fixed point theorem of rational contractive mappings in dislocated metric spaces

Author:

Jeevanandam Uma Maheswari1,Annadurai Anbarasan2,Mani Gunaseelan3,Kumar Santosh45

Affiliation:

1. Department of Mathematics, St. Joseph’s College (Autonomous) , Tiruchirappalli 620 002 , India

2. Department of Mathematics, K. Ramakrishnan College of Engineering (Autonomous) , Trichy 621 112 , Tamil Nadu , India

3. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences , Chennai 602 105 , Tamil Nadu , India

4. Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam , Dar es Salaam 35091 , Tanzania

5. Department of Mathematics, North Eastern Hill University , Shillong 793022 , Meghalaya , India

Abstract

Abstract We improve the rational contractive condition and prove the common fixed point in the dislocated metric spaces. In addition, the new generalized rational contraction has existence of a common solution for a system of integral equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Reference9 articles.

1. A. Al-Rawashdeh and J. Ahmad, Common fixed point theorems for JS-contractions, Bulletin Math. Anal. Appl. 8 (2016), no. 4, 12–22.

2. M. Arshad, E. Karpinar, and J. Ahmed, Some unique fixed point theorems for rational contraction in partially ordered metric spaces, J. Inequalit. Appl. 2013 (2013), 1–6.

3. A. Tomar and R. Sharma, Some coincidence and common fixed point theorems concerning F-contractions and applications, J. Int. Math. Virtual Institute 8 (2018), 181–198.

4. A. Tomar, C. Jeyanthi, and P. G. Maheswari, On coincidence and common fixed point of six maps satisfying F-contractions, TWMS J. App. Eng. Math. 6 (2016), no. 2, 224–231.

5. P. Hitzler and A. K. Seda, Dislocated topologies, J. Electr. Eng. 51 (2000), no. 12, 3–7.

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