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Displaying similar documents to “Approximate quantities, hyperspaces and metric completeness”

Suzuki type fuzzy 𝒵 -contractive mappings and fixed points in fuzzy metric spaces

Dhananjay Gopal, Juan Martínez-Moreno (2021)

Kybernetika

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In this paper, we propose the concept of Suzuki type fuzzy 𝒵 -contractive mappings, which is a generalization of Fuzzy 𝒵 -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set...

Partial Fuzzy Metric Space and Some Fixed Point Results

Shaban Sedghi, Nabi Shobkolaei, Ishak Altun (2015)

Communications in Mathematics

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In this paper, we introduce the concept of partial fuzzy metric on a nonempty set X and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.

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.

Note on the Wijsman hyperspaces of completely metrizable spaces

J. Chaber, R. Pol (2002)

Bollettino dell'Unione Matematica Italiana

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We consider the hyperspace C ⁢ L ⁢ X of nonempty closed subsets of completely metrizable space X endowed with the Wijsman topologies τ W d . If X is separable and d , e are two metrics generating the topology of X , every countable set closed in C ⁢ L ⁢ X , τ W e has isolated points in C ⁢ L ⁢ X , τ W d . For d = e , this implies a theorem of Costantini on topological completeness of C ⁢ L ⁢ X , τ W d . We show that for nonseparable X the hyperspace C ⁢ L ⁢ X , τ W d may contain a closed copy of the rationals. This answers a question of Zsilinszky.

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...