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Test Spaces for Metric Spaces [PDF]
Introduction. Let n be a positive integer, and let yn be a topological space with the following property: a topological space X has dimension Yn can be extended over X. Then we call yn a test space for dimension n. In a previous paper [10], we characterized test spaces for dimension n under the assumption that both X and yn were separable metric.
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Double Controlled Partial Metric Type Spaces and Convergence Results
In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces.
Haroon Ahmad +2 more
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Fixed point theorems in metric spaces and probabilistic metric spaces
In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho +2 more
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On the metric compactification of infinite-dimensional $\ell_{p}$ spaces
The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel; and has been mainly studied on proper geodesic metric spaces.
Gutiérrez, Armando W.
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Let (X,\(\rho)\) be a metric space. For every a,b\(\in X\) let \(I_{\rho}(a,b)=\{a\}\) if \(a=b\) and \(I_{\rho}(a,b)=\{c\in X;\quad \forall x\in X \rho (x,c)
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Controlled Metric Type Spaces and the Related Contraction Principle
In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality.
Nabil Mlaiki +3 more
semanticscholar +1 more source
ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard +8 more
wiley +1 more source
In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction ...
Bontu Nasir Abagaro +2 more
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This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric ...
Çiğdem Gündüz +2 more
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On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
Conformal moduli spaces of four-dimensional superconformal theories obtained by deformations of a superpotential are considered. These spaces possess a natural metric (a Zamolodchikov metric). This metric is shown to be Kahler.
A Butti +15 more
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