Some common fixed point theorem of rational contractive mappings in dislocated metric spaces-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

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

Link

https://www.degruyter.com/document/doi/10.1515/taa-2022-0135/pdf

Reference9 articles.

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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.

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