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
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.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Letters in Nonlinear Analysis and its Applications
This work is licensed under a Creative Commons Attribution 4.0 International License.