Results 41 to 50 of about 77,924 (297)
On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences
Nonlinear Analysis, 2016 In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces.
Hassen Aydi +2 more
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Embedding quasi-metric spaces in hilbert space
Aequationes Mathematicae, 1981 Let \((X,\delta)\) be a quasi-metric set. The author discusses the problem of embedding this set in some vector space equipped with a quadratic form i.e. if \(\delta\) is \(\mu\)-square summable with \(\mu\) being a finite positive measure on X, then \((X,\delta\),\(\mu)\) can be embedded almost everywhere in \(\ell^ 2\) (space of all square-summable ...
openaire +1 more source
Double Controlled Quasi Metric Like Spaces
Symmetry, 2022 In this article, we present a generalization of the double controlled metric like spaces, called quasi double controlled metric like spaces, by assuming that the symmetric condition is not necessary satisfied. Moreover, the self distance is not necessary zero.
Salma Haque +3 more
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Intelligent Tutoring Systems for Adult Learning in STEM Disciplines
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley +1 more source
A metric approach to limit operators
, 2017 We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
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Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source
Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
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Advanced Engineering Materials, EarlyView.This study presents an infrared monitoring approach for direct laser interference patterning (DLIP) combined with a convolutional neural network (CNN). Thermal emission data captured during structuring are used to predict surface topography parameters.
Lukas Olawsky +5 more
wiley +1 more source
On the extension of partial metrics and quasi-metrics
Applied General TopologyIn a recent article, V. Mykhaylyuk and V. Myronyk investigated the problem of extending partial metrics and quasi-metrics. Concretely, they stated, and proved, as a main result that if A is a closed subset of a partially metrizable space (X,τ) then every
Salvador Romaguera, Pedro Tirado
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On half-completion and bicompletion of quasi-metric spaces [PDF]
, 1996 summary:We characterize the quasi-metric spaces which have a quasi-metric half-comp\-le\-tion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable.
Salvador Romaguera +3 more
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