Fixed point theorems in new multiplicative metric spaces

Authors

  • Maher Berzig Université de Tunis, École Nationale Supérieure d’Ingénieurs de Tunis, Département de Mathématiques, 1008 Tunis, Tunisie

Keywords:

multiplicative metric space, fixed point theorem

Abstract

We introduce new concepts of triangular and rectangular multiplicative metric spaces, and establish fixed-point theorems in such spaces. Then, we derive Kannan-type fixed-point theorems in triangular and rectangular multiplicative metric spaces.

References

R.P. Agarwal, E. Karapınar and B. Samet, An essential remark on fixed point results on multiplicative metric spaces, Fixed Point theory Appl. 2016 (2016), 1-3.

A.E. Bashirov, E.M. Kurpınar and A. Özyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36-48.

A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 (2000), 31-37.

T. Došenović and S. Radenović, Some critical remarks on the paper: An essential remark on fixed point results on multiplicative metric spaces, J. Adv. Math. Stud. 10 (2017), 20--24.

R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71--76.

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Published

2024-06-18

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Articles