A Common Fixed Point Theorem in Cone Rectangular Metric Space Under Expansive Type Condition

Pagidi Mallikarjun Reddy

doi:10.17485/IJST/v16i32.1303

Article

A Common Fixed Point Theorem in Cone Rectangular Metric Space Under Expansive Type Condition

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i32.1303

Year: 2023, Volume: 16, Issue: 32, Pages: 2510-2517

Original Article

A Common Fixed Point Theorem in Cone Rectangular Metric Space Under Expansive Type Condition

Pagidi Mallikarjun Reddy^1*

¹Department of Technical Education, Government Polytechnic for Women (Minorities), Badangpet, R.R.Dist, Telangana, 500112, Hyderabad, India

*Corresponding Author
Email: [email protected]

Received Date:30 May 2023, Accepted Date:16 July 2023, Published Date:24 August 2023

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

Abstract

Objectives: In this paper, we have to establish a generalized common fixed point theorem in cone rectangular metric spaces. Methods: In this paper, we use the Banach contraction principle technique to establish the generalized fixed point theorem. Findings: The paper presents a unique common fixed point theorem for two weakly compatible self-maps satisfying expansive type mapping in cone rectangular metric space without assuming the normality condition of a cone. Our result extends and supplements some well-known results in cone rectangular metric spaces. Novelty: The main novelty of this article is to prove a common fixed theorem under expansive type conditions. As a direct consequence, we give an example to illustrate our obtained result.

Keywords: Normal Cone; Cone Rectangular Metric Space; Coincidence Point; Common Fixed Point; Weakly Compatible; Expansive Type Mappings

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Copyright

© 2023 Reddy. 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)