Fixed point theorems in new multiplicative metric spaces
Keywords:
multiplicative metric space, fixed point theoremAbstract
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
[1] 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.
[2] A.E. Bashirov, E.M. Kurpınar and A. ¨Ozyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36–48.
[3] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 (2000), 31–37.
[4] T. Doˇsenovi´c and S. Radenovi´c, 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.
[5] R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71–76.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Maher Berzig

This work is licensed under a Creative Commons Attribution 4.0 International License.