Some Quadruple Fixed Points of Integral Type Contraction Mappings in Bipolar Metric Spaces with Application

Naresh Parkala; Upender Reddy Gujjula; Srinuvasa Rao Bagathi

doi:10.17485/IJST/v16i25.2058

Article

Some Quadruple Fixed Points of Integral Type Contraction Mappings in Bipolar Metric Spaces with Application

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i25.2058

Year: 2023, Volume: 16, Issue: 25, Pages: 1843-1856

Original Article

Some Quadruple Fixed Points of Integral Type Contraction Mappings in Bipolar Metric Spaces with Application

Naresh Parkala¹,^2*, Upender Reddy Gujjula², Srinuvasa Rao Bagathi³

¹Assistant Professor of Mathematics, Department of Mathematics, Sreenidhi Institute of Science and Technology, Ghatkesar, Telangana, 501301, Hyderabad, India
²Assistant Professor of Mathematics, Department of Mathematics, Mahatma Gandhi University, Nalgonda, 508254, Telangana, India
³Assistant Professor of Mathematics, Department of Mathematics, DR.B.R Ambedkar University, Srikakulum, Etcherla, 532410, Andhra Pradesh, India

*Corresponding Author
Email: [email protected]

Received Date:11 February 2023, Accepted Date:15 March 2023, Published Date:24 June 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To establish a common quadruple fixed point theorem on complete bipolar metric spaces. Methods: By using integral type contraction of two covariant mappings. Findings: For covariant mappings of the complete metric space, which was able to obtain a unique common quadruple fixed point theorem and validate it with an appropriate example. Novelty: A unique common quadruple fixed point is produced by using integral contraction with covariant mappings and is a more reliable generalization of the previously published theorems.

Keywords: Bipolar metric space; Intergral type contraction; Completeness; w - compatible mapping; Common Quadruple fixed point

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Copyright

© 2023 Parkala et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)