• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

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

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


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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© 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)


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