Common Fixed Point Theorem for Three Self-maps in \(G_{\mathit{JS}}\)-Metric Space

D. Srilatha; V. Kiran

doi:10.26713/cma.v15i2.2604

Authors

D. Srilatha Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, India https://orcid.org/0009-0005-9424-6064 (unauthenticated)
V. Kiran Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, India https://orcid.org/0000-0002-2678-5796 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i2.2604

Keywords:

GJS-metric space, GJS-continuous mapping, Common fixed point, Compatible maps, Associated sequence, Contractive modulus

Abstract

In this article, we prove a common fixed point theorem for three self-maps using the contractive modulus function in a recently emerged generalized metric space known as \(G_{\mathit{JS}}\)-metric space and verified its uniqueness. We illustrated the main theorem with an example.

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