Common Fixed Point Theorem for Three Self-maps in GJS-Metric Space

Authors

  • SRILATHA DARSI Department of Mathematics, Osmania University, Telangana
  • Kiran Virivinti Osmania University

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 GJS-metric space and verified its uniqueness. We illustrated the main theorem with an example.

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Author Biography

Kiran Virivinti, Osmania University

Associate Professor, Department of Mathematics, Osmania University, Hyderabad, India .

References

Anjana Kundu and Kalishankar Tiwary, A common fixed point theorem for five mappings in metric spaces, Review Bulletin of the

Calcutta Mathematical Society vol. 11, 2003.

https://www.researchgate.net/publication/265488529_A_common_fixed_point_theorem_for_five_mappings_in_metric_spaces.

S. Banach, Sur les Operations dans les ensembles abstraits et leur application aux equations integrales, Fundamenta Mathematicae

vol. 3, no. 1, pp. 133-181, 1922. http://eudml.org/doc/213289.

I. Beg, K. Roy, M. Saha, SJS-Metric and Topological Spaces, Journal of Mathematical Extension vol. 15, no. 4, pp. 1-16, 2021.

DOI:10.30495/JME.2021.1589.

Jleli Mohamed and Bessem Samet, A generalized metric space and related fixed point theorems, Fixed Point Theory and Applications

vol.61, no. 1, pp.1-14, 2015. DOI:10.1186/s13663-015-0312-7.

G. Jungck, Compatible mappings and Common Fixed points, International Journal of Mathematics and Mathematical Sciences vol. 9,

no. 4, pp. 771-779, 1986. http://doi.org/10.1155/S0161171286000935.

V. Kiran, K. Rajani Devi and J. Niranjan Goud, Common fixed point theorems for three self maps of a complete S-metric space, Malaya

Journal of Matematik vol. 8, no. 1, pp. 288-293, 2020. DOI:10.26637/MJM0802/0008.

Z. Mustafa and B. Sims, A New Approach to Generalized Metric spaces, Journal of Nonlinear and Convex Analysis vol. 7, no. 2, pp. 289-

, 2006.

https://carmamaths.org/brailey/Research_papers/A%20new%20Approach%20to%20Generalized%20Metric%20Spaces.pdf.

Z. Mustafa and B. Sims, Some remarks concerning D-metric spaces, International Conference on Fixed Point Theory and Applications

Valencia Spain, 2004.

https://qspace.qu.edu.qa/bitstream/handle/10576/44028/some_remarks_concerning_d% 5Emetric_spaces-

pdf?sequence=1&isAllowed=y.

J. Niranjan Goud, M. Rangamma, Common Fixed Point Theorem for Six Selfmaps of a Complete G-Metric Space, Advances in Pure

Mathematics vol. 7, no. 3, pp. 290-297, 2017. DOI:10.4236/apm.2017.73015.

S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S- metric spaces, Matematicki Vesnik vol. 64, no. 3,

pp. 258-266, 2012. https://www.emis.de/journals/MV/123/mv12309.pdf.

S. Sedghi, N. Shobkolaei, M. Shahraki, T. Dosenovic, Common fixed point of four maps in S-metric spaces, Mathematical Sciences vol.

, pp. 137-143, 2018. https://doi.org/10.1007/s40096-018-0252-6.

O. B. Singh, Common Fixed Point Theorem for Three Self Mappings, The Bulletin of Society for Mathematical Services and Standards

vol. 9, pp. 18-24, 2014. DOI: https://doi.org/10.18052/www.scipress.com/BSMaSS.9.18.

D. Srilatha and V. Kiran, A Study on Tripled Fixed Point Results in GJS - Metric Space, Mathematics and Statistics vol. 11, no. 5, pp. 767-

, 2023. DOI:10.13189/ms.2023.110502.

L. Vishnu and Dolhare U.P., On Common Fixed Points of three Maps in Generalized Metric Space, Global Journal of Pure and Applied

Mathematics vol. 13, no. 9, pp. 6429-6436, 2017. http://www.ripublication.com/gjpam.htm.

Published

14-11-2024

How to Cite

DARSI, S., & Virivinti, K. (2024). Common Fixed Point Theorem for Three Self-maps in GJS-Metric Space. Communications in Mathematics and Applications, 15(2). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2604

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Section

Research Article