Fixed points of multiplicative contraction mappings on multiplicative metric spaces

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Journal of Engineering Technology and Applied Sciences
Volume:2 Issue:2
Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Pages : 65-79

View : 30 | Download : 13

Publication Date : 2017-10-09

Article Type : Research Paper

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

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