Results 11 to 20 of about 20,286 (160)

Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points

Demonstratio Mathematica, 2022
Involving ww-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1{T}_{1}) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained.
Erdal Karapinar, Salvador Romaguera, Pedro Tirado   +2 more
exaly   +2 more sources

The Hausdorff fuzzy quasi-metric

Fuzzy Sets and Systems, 2010
Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we construct a fuzzy quasi-pseudo-metric on the collection of all nonempty subsets of X, called the Hausdorff fuzzy quasi-pseudo-metric.
Jesus Rodríguez-López, S Romaguera
exaly   +4 more sources

Basic Contractions of Suzuki-Type on Quasi-Metric Spaces and Fixed Point Results

Mathematics, 2022
This paper deals with the question of achieving a suitable extension of the notion of Suzuki-type contraction to the framework of quasi-metric spaces, which allows us to obtain reasonable fixed point theorems in the quasi-metric context.
Salvador Romaguera, Romaguera Salvador
exaly   +3 more sources

Some Characterizations of Complete Hausdorff KM-Fuzzy Quasi-Metric Spaces [PDF]

Mathematics, 2023
Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as a natural asymmetric generalization of the concept of fuzzy metric space in the sense of Kramosil and Michalek.
Salvador Romaguera
doaj   +5 more sources

Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces

Mathematics, 2023
In order to generalize classical Banach contraction principle in the setup of quasi-metric spaces, we introduce Suzuki-type contractions of quasi-metric spaces and prove some fixed point results.
Basit Ali, Hammad Ali, Talat Nazir
exaly   +3 more sources

On Protected Quasi-Metrics

Axioms
In this paper, we introduce and examine the notion of a protected quasi-metric. In particular, we give some of its properties and present several examples of distinguished topological spaces that admit a compatible protected quasi-metric, such as the ...
Salvador Romaguera
doaj   +3 more sources

On aggregation of metric structures: the extended quasi-metric case [PDF]

International Journal of Computational Intelligence Systems, 2013
In 1981, J. Borsík and J. Doboš studied and solved the problem of how to merge, by means of a function, a (not necessarily finite) collection of metrics in order to obtain a single one as output. Later on, in 2010, G. Mayor and O.
Sebastià Massanet, Oscar Valero
doaj   +2 more sources

Expansive homeomorphisms on quasi-metric spaces

Applied General Topology
The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations.
Olivier Olela Otafudu, Dibona Peggy Matladi, Mcedisi Sphiwe Zweni   +2 more
doaj   +5 more sources

Quasi-Partial Branciari b-Metric Spaces and fixed point results with an application [PDF]

Journal of Hyperstructures, 2023
The main aim of this research paper is to introduce concept of quasi-partial Branciari b-metric space. Such spaces arean extension of quasi-partial metric spaces, quasi-partial b-metric spaces and quasi-partial Branciari metric spaces.
Dileep Sharma, Jayesh Tiwari
doaj   +1 more source

On Intuitionistic Fuzzy Quasi Metric Space

Al-Mustansiriyah Journal of Science, 2022
In this article the fixed point of intuitionistic fuzzy quasi metric space instabilities on two metrics  dx(f, g) and Dx(f, g) on complicity space X have been studied and presented in details depended on (0,1]-fuzzy contractive map.
Alaa J. Edan, Sameer Q. Hasan
doaj   +1 more source