Common Fixed-point Theorem for Four Weakly Compatible Self-maps Satisfying (E.A) — Property on a Complete S-metric Space

A Srinivas; V Kiran

doi:10.17485/IJST/v15i41.1531

Article

Common Fixed-point Theorem for Four Weakly Compatible Self-maps Satisfying (E.A) — Property on a Complete S-metric Space

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i41.1531

Year: 2022, Volume: 15, Issue: 41, Pages: 2109-2114

Original Article

Common Fixed-point Theorem for Four Weakly Compatible Self-maps Satisfying (E.A) — Property on a Complete S-metric Space

A Srinivas¹, V Kiran^1*

¹Department of Mathematics, University College of Science, Osmania University, 500007, Hyderabad, India

*Corresponding Author
Email: [email protected]

Received Date:26 July 2022, Accepted Date:30 September 2022, Published Date:31 October 2022

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

Abstract

Objectives: To establish a fixed-point theorem on a complete S -metric space. Methods: By using (E.A)-property of self-maps and applying the concept of strong comparison function. Findings: Obtained a unique common fixed-point theorem for four self-maps of a complete S-metric space and validated it with a suitable example. Novelty: By utilizing weak compatibility together with (E.A)- property, a unique common fixed point is obtained for four self-maps which is more robust generalization of the existing theorems in the literature which are proved by using common limit range property. Mathematics Subject Classification: 47H10, 54H25

Keywords: (EA)-property; Weak compatibility; Comparison function; Fixed point; S - metric space

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Copyright

© 2022 Srinivas & Kiran. 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)