Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Year 2017, Volume: 2 Issue: 2, 65 - 79, 09.10.2017

Muttalip Özavşar

https://doi.org/10.30931/jetas.338608

Cited By: 6

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

References

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