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Neutrosophic metric spaces [PDF]

open access: yesMathematical Sciences, 2020
In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Murat Kirişci, Necip Şimşek
openaire   +4 more sources

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]

open access: yesThe Scientific World Journal, 2014
The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
doaj   +2 more sources

Partial Rectangular Metric Spaces and Fixed Point Theorems [PDF]

open access: yesThe Scientific World Journal, 2014
The purpose of this paper is to introduce the concept of partial rectangular metric spaces as a generalization of rectangular metric and partial metric spaces.
Satish Shukla
doaj   +2 more sources

On the H.-Q. Li inequality on step-two Carnot groups

open access: yesComptes Rendus. Mathématique, 2023
In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q.
Zhang, Ye
doaj   +1 more source

Double-Composed Metric Spaces

open access: yesMathematics, 2023
The double-controlled metric-type space (X,D) is a metric space in which the triangle inequality has the form D(η,μ)≤ζ1(η,θ)D(η,θ)+ζ2(θ,μ)D(θ,μ) for all η,θ,μ∈X. The maps ζ1,ζ2:X×X→[1,∞) are called control functions.
Irshad Ayoob   +2 more
doaj   +1 more source

Estimation of fuzzy metric spaces from ordinary metric spaces

open access: yesRatio Mathematica, 2021
In this paper we estimate the new way for analyzing the fuzzy metric spaces from ordinary metric spaces using fuzzy fixed point theorem and vice versa.
P Kumar Senthil, Thiruveni Packirisamy
doaj   +1 more source

Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2022
We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz   +2 more
doaj   +1 more source

Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap

open access: yesJambura Journal of Mathematics, 2023
Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati   +2 more
doaj   +1 more source

Toplogical and Geometric KM-Single Valued Neutrosophic Metric Spaces [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
‎This paper introduces the novel concept of KM-single valued neutrosophic metric spaces as an especial generalization of KM-fuzzy metric spaces‎, ‎investigates several topological and structural properties and presents some of its applications‎.
Mohammad Hamidi   +2 more
doaj   +1 more source

Some fixed point results on generalized metric spaces

open access: yesAIMS Mathematics, 2021
In this paper, generalized metric spaces are introduced as a common generalization of tvs-cone metric spaces, partial metric spaces and b-metric spaces, and a unified approach is proposed to some fixed point results by using generalized metric spaces ...
Xun Ge, Songlin Yang
doaj   +1 more source

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