- Advances in the Theory of Nonlinear Analysis and its Application
- Volume: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 : 33 | Download : 4
Publication Date : 2018-12-24
Article Type : Research Paper
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, insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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
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