Results 51 to 60 of about 1,906,341 (197)

Function Weighted Quasi-Metric Spaces and Fixed Point Results

IEEE Access, 2019
Hereafter, the concept of a function weighted quasi-metric space is introduced. A necessary topology on this new structure is considered. A condition that ensures the uniqueness of the limit of a sequence in such a space is provided.
E. Karapınar, A. Pitea, W. Shatanawi
semanticscholar   +1 more source

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
doaj   +1 more source

The Meir-Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences

Symmetry, 2019
We obtain quasi-metric versions of the famous Meir–Keeler fixed point theorem from which we deduce quasi-metric generalizations of Boyd–Wong’s fixed point theorem.
S. Romaguera, P. Tirado
semanticscholar   +1 more source

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
doaj   +1 more source

Fixed point theorems on a γ-generalized quasi-metric spaces

Creative Mathematics and Informatics, 2019
The concept of \gamma-generalized quasi-metric spaces is newly introduced in this paper with the symmetry assumption removed. The existence of fixed points of our newly introduced (\gamma-\phi)-contraction mappings, defined on \gamma-generalized quasi ...
Adewale Olusola Kayode, Olaleru Johnson, Olaoluwa Hallowed, Akewe Hudson   +3 more
semanticscholar   +1 more source

A Quasi-Metric for Machine Learning

, 2002
Junta de Andalucía TIC ...
Miguel Angel Gutiérrez-Naranjo, José A. Alonso-Jiménez, Joaquín Borrego-Díaz   +2 more
openaire   +3 more sources

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
doaj  

Extendible spaces

Applied General Topology, 2002
The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory partial orders are represented as quasi-metric spaces. For such spaces, the notion of the extension by
M.P. Schellekens
doaj   +1 more source

Abstract approach to non homogeneous Harnack inequality in doubling quasi metric spaces [PDF]

, 2017
We develop an abstract theory to obtain Harnack inequality for non homogeneous PDEs in the setting of quasi metric spaces. The main idea is to adapt the notion of double ball and critical density property given by Di Fazio, Guti\'errez, Lanconelli ...
Chiara Guidi, A. Montanari
semanticscholar   +1 more source

On equinormal quasi-metrics [PDF]

Proceedings of the Edinburgh Mathematical Society, 1989
Throughout this paper all spaces are T1 and N will denote the set of all positive integer numbers.A quasi-metric on a set X is a non-negative real-valued function d on X × X such that, for all x, y, z ∈ X, (i) d(x, y) = 0 if, and only if, x = ysemicolon (ii) d(x, y)≦d(x, z) + d(z, y).
openaire   +1 more source