A Common Fixed Point Theorem for Two Compatible Self-maps of a \(S\)-Metric Space

V. Kiran; J. Niranjan Goud

doi:10.26713/cma.v13i2.1832

Authors

V. Kiran Department of Mathematics, Osmania University Hyderabad, Telangana 500007, India https://orcid.org/0000-0002-2678-5796 (unauthenticated)
J. Niranjan Goud Department of Mathematics, M.V.S. Government College, Mahaboob Nagar, Telangana 509001, India https://orcid.org/0000-0002-8076-2990 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i2.1832

Keywords:

S-metric space, Fixed point, Contractive modulus, Associated sequence of a point relative to two self maps

Abstract

In this paper, we prove a common fixed point theorem for two compatible self-maps of a \(S\)-metric space.

Downloads

Download data is not yet available.

References

G. Jungck, Common fixed points for non-continuous nonselfmaps on non metric spaces, Far East Journal of Mathematical Sciences 4(2) (1996), 199 – 215.

G. Jungck, Compatible mappings and common fixed points, International Journal of Mathematics and Mathematical Sciences 9 (1986), Article ID 531318, DOI: 10.1155/S0161171286000935.

Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis 7 (2006), 289 – 297, URL: https://carmamaths.org/brailey/Research_papers/A%20new%20Approach%20to%20Generalized%20Metric%20Spaces.pdf.

S. Sedghi, N. Shobe and H. Zhou, A common fixed point theorem in D∗-metric spaces, Fixed Point Theory and Applications 2007 (2007), Article number: 027906, DOI: 10.1155/2007/27906.

S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Matematiˇcki Vesnik 64(3) (2012), 258 – 266, URL: https:www.emis.de/journals/MV/123/mv12309.pdf.

G. Yadav, R.K. Sharma and G.L. Prajapati, Common fixed point theorems of compatible maps in complex valued b-metric spaces, Journal of Scientific Research 12(4) (2020), 431 – 446, DOI: 10.3329/jsr.v12i4.44374.