Abstract
The purpose of this work is to introduce new types of contraction mappings in the sense of a multiplicative metric space. Fixed point results for these contraction mappings in multiplicative metric spaces are obtained. Our presented results generalize, extend, and improve results on the topic in the literature. Moreover, our results cannot be directly obtained as a consequence from the corresponding results in metric spaces. We also state some illustrative examples to claim that our results properly generalize some results in the literature. We apply our main results for proving a fixed point theorem involving a cyclic mapping.
Highlights
Introduction and preliminariesThroughout this paper, we denote by N, R+, and R the sets of positive integers, positive real numbers, and real numbers, respectively.The Banach-contraction mapping principle is one of the pivotal results of analysis
It is widely considered as the source of metric fixed point theory
They proved some fixed point theorems on complete multiplicative metric spaces
Summary
Introduction and preliminariesThroughout this paper, we denote by N, R+, and R the sets of positive integers, positive real numbers, and real numbers, respectively.The Banach-contraction mapping principle is one of the pivotal results of analysis. They proved some fixed point theorems on complete multiplicative metric spaces.
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