Results 1 to 10 of about 6,713,503 (368)

Common fixed point results on an extended b-metric space. [PDF]

open access: yesJ Inequal Appl, 2018
In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature.
Alqahtani B, Fulga A, Karapınar E.
europepmc   +2 more sources

Basic inequality on a b-metric space and its applications. [PDF]

open access: yesJ Inequal Appl, 2017
We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
Suzuki T.
europepmc   +2 more sources

Quasi-metric and metric spaces [PDF]

open access: yesConformal Geometry and Dynamics of the American Mathematical Society, 2006
We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space.
Schroeder, Viktor
core   +6 more sources

Fuzzy metric topology space and manifold [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
doaj   +1 more source

Probabilistic modular metric spaces [PDF]

open access: yesJournal of Hyperstructures, 2020
The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah   +1 more
doaj   +1 more source

Pointwise k-Pseudo Metric Space

open access: yesMathematics, 2021
In this paper, the concept of a k-(quasi) pseudo metric is generalized to the L-fuzzy case, called a pointwise k-(quasi) pseudo metric, which is considered to be a map d:J(LX)×J(LX)⟶[0,∞) satisfying some conditions.
Yu Zhong, Alexander Šostak, Fu-Gui Shi
doaj   +1 more source

(L,M)-Fuzzy k-Pseudo Metric Space

open access: yesMathematics, 2022
Recently, the notion of a classical k-metric, which make the triangle inequality to a more general axiom: d(x,z)≤k(d(x,y)+d(y,z)), has been presented and is applied in many fields.
Yu Zhong   +3 more
doaj   +1 more source

A metric for space [PDF]

open access: yesHippocampus, 2008
AbstractNot all areas of neuronal systems investigation have matured to the stage where computation can be understood at the microcircuit level. In mammals, insights into cortical circuit functions have been obtained for the early stages of sensory systems, where signals can be followed through networks of increasing complexity from the receptors to ...
May-Britt Moser, Edvard I. Moser
openaire   +3 more sources

Metric Space of Collider Events. [PDF]

open access: yesPhysical Review Letters, 2019
When are two collider events similar? Despite the simplicity and generality of this question, there is no established notion of the distance between two events.
Patrick T. Komiske   +2 more
semanticscholar   +1 more source

From metric spaces to partial metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2013
Let \((X,p)\) be a partial metric space and \(p^s(x,y):= 2p(x,y)-p(x,x)-p(y,y) \) the metric on \(X\) generated by \(p\). In this paper the authors study the following problems: If \(T:(X,p) \to (X,p) \) is a generalized contraction, which condition satisfies \(T\) with respect to \(p^s\)?
Samet, B   +2 more
openaire   +4 more sources

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