- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 2 Issue: 4
- Rational contraction in multiplicative metric spaces
Rational contraction in multiplicative metric spaces
Authors : Tatjana Dosenovic, Stojan Radenovic
Pages : 195-201
Doi:10.31197/atnaa.481995
View : 4 | Download : 2
Publication Date : 2018-12-24
Article Type : Research
Abstract :The purpose of this paper is to prove that instead of a rational contraction shown in the papers Afrah A. N. Abdou, \emph{Fixed point theorems for generalized contraction mappings in multiplicative metric spaces, }J. Nonlinear Sci. Appl. 9, 2347-2363, (2016) and N. Sharma, K. Kumar, S. Sharma, R. Jha, \emph{Rational contractive condition in multiplicative metric space and common fixed point theorem}, International Journal of Innovative Research in Science, Engineering and Technology, 5, 10473-10480 (2016) a more general contractive condition can be obtained in multiplicative metric spaces, which is equivalent to a contractive condition in metric spaces.Keywords : Metric Space, Common Fixed Point, Multiplicative Metric Space