- Journal of Engineering Technology and Applied Sciences
- Vol: 2 Issue: 2
- Fixed points of multiplicative contraction mappings on multiplicative metric spaces
Fixed points of multiplicative contraction mappings on multiplicative metric spaces
Authors : Muttalip Özavşar
Pages : 65-79
Doi:10.30931/jetas.338608
View : 13 | Download : 7
Publication Date : 2017-10-09
Article Type : Research
Abstract :In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real numbers R_+ is a complete multiplicative metric space with respect to the multiplicative absolute value function. Furthermore, we introduced concept of multiplicative contraction mapping and proved some fixed point theorems of such mappings on complete multiplicative metric spaces.Keywords : Multiplicative metric space, Fixed Point, Contractive Mapping