Displaying similar documents to “Partial Fuzzy Metric Space and Some Fixed Point Results”

A new approach for KM-fuzzy partial metric spaces

Yu Shen, Chong Shen, Conghua Yan (2022)

Kybernetika

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The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric...

On generalizations of fuzzy metric spaces

Yi Shi, Wei Yao (2023)

Kybernetika

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The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively. From the viewpoint of functional generalization, we introduce a notion of generalized fuzzy 2-metric spaces, study their topological properties, and point out that it is also a common generalization of both tripled fuzzy metric spaces proposed by Tian et al. and ℳ -fuzzy metric spaces proposed by Sedghi...

Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium

Rakesh Tiwari, Vladimir Rakočević, Shraddha Rajput (2022)

Kybernetika

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In this paper, we introduce Θ f -type controlled fuzzy metric spaces and establish some fixed point results in this spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for finding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.

Fuzzy distances

Josef Bednář (2005)

Kybernetika

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In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to ℝ n are dealt with in detail.