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Fuzzy quasi-metrics for the Sorgenfrey line [PDF]

Fuzzy Sets and Systems, 2013
1 The first and second authors acknowledge the support of Spanish Ministry of Education and Science under Grant MTM 2009-12872-C02-01.
Valentín Gregori, Samuel Morillas, Bernardino Roig   +2 more
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A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics

Mathematics, 2020
In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori, Juan-José Miñana, David Miravet   +2 more
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Quasi-Triangular Spaces, Pompeiu-Hausdorff Quasi-Distances, and Periodic and Fixed Point Theorems of Banach and Nadler Types

Abstract and Applied Analysis, 2015
Let C={Cα}α∈A∈[1;∞)A, A-index set. A quasi-triangular space (X,PC;A) is a set X with family PC;A={pα:X2→[0,∞),  α∈A} satisfying ∀α∈A  ∀u,v,w∈X  {pα(u,w)≤Cα[pα(u,v)+pα(v,w)]}.
Kazimierz Włodarczyk
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On Dislocated Quasi Metrics

Journal of Advanced Studies in Topology, 2011
Summary: The notion of dislocated quasi metric is a generalization of metric that retains an analogue of the illustrious Banach's Contraction principle. The purpose of this note is to study topological properties of a dq-metric, its connection with dislocated metric and to derive some fixed point theorems.
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Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps

Axioms, 2018
Relations between I-quasi-valuation maps and ideals in B C K / B C I -algebras are investigated. Using the notion of an I-quasi-valuation map of a B C K / B C I -algebra, the quasi-metric space is induced, and several properties are ...
Seok-Zun Song, Hashem Bordbar, Young Bae Jun   +2 more
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Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces

InPrime, 2022
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing
Ainun Sukmawati Al Idrus, Resmawan Resmawan, Muhammad Rezky Friesta Payu, Salmun K. Nasib, Asriadi Asriadi   +4 more
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Modular Quasi-Pseudo Metrics and the Aggregation Problem

Mathematics
The applicability of the distance aggregation problem has attracted the interest of many authors. Motivated by this fact, in this paper, we face the modular quasi-(pseudo-)metric aggregation problem, which consists of analyzing the properties that a ...
Maria del Mar Bibiloni-Femenias, Oscar Valero   +1 more
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Versatile asymmetrical tight extensions

Topological Algebra and its Applications, 2017
We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
Otafudu Olivier Olela, Mushaandja Zechariah   +1 more
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A Quasi-Metric for Machine Learning

, 2002
Junta de Andalucía TIC ...
Miguel Angel Gutiérrez-Naranjo, José A. Alonso-Jiménez, Joaquín Borrego-Díaz   +2 more
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Quasi-metric spaces and information systems

Ciência da Informação, 1975
O relacionamento entre fontes de informação édefinido em termos de um espaço quase-métrico. Esta propriedade é utilizada para quantificar certos padrões funcionais em sistemas de informaçãocriados pelo homem, tais como a biblioteca.
Thomas G. Morris Jr, William Goffman
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