Results 21 to 30 of about 40,741 (301)
Fixed point theorems in a new type of modular metric spaces
In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
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Sensitivity analysis in general metric spaces [PDF]
In this paper, we introduce new indices adapted to outputs valued in general metric spaces. This new class of indices encompasses the classical ones; in particular, the so-called Sobol indices and the Cram{é}r-von-Mises indices. Furthermore, we provide asymptotically Gaussian estimators of these indices based on U-statistics. Surprisingly, we prove the
Gamboa, Fabrice +3 more
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On a Statistical Generalization of Metric Spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the generalized Jacobi equation. [PDF]
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
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Generating Flows on Metric Spaces
This paper seeks to obtain solution curves of arc fields and to study the continuous dependence of solutions on initial conditions. The authors present some examples, one of which shows that it is not sufficient to merely assume that the arc field is Lipschitz in order to obtain solution curves.
Calcaterra, Craig, Bleecker, David
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On Fixed Point Findings for Diverse Contractions in b Dislocated-Multiplicative Metric Spaces
In our present research study, we present the idea of b dislocated-multiplicative metric space (abbrev. bd-multiplicative metric space) that is generalization of b-multiplicative metric space and dislocated-multiplicative metric space.
A. Kamal, Asmaa M. Abd-Elal
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Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces
We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar +3 more
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Fixed Points and Completeness in Metric and Generalized Metric Spaces [PDF]
The famous Banach Contraction Principle holds in complete metric spaces, but completeness is not a necessary condition -- there are incomplete metric spaces on which every contraction has a fixed point. The aim of this paper is to present various circumstances in which fixed point results imply completeness.
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Fixed points and coupled fixed points in partially ordered ν-generalized metric spaces
New fixed point and coupled fixed point theorems in partially ordered ν-generalized metric spaces are presented. Since the product of two ν-generalized metric spaces is not in general a ν-generalized metric space, a different approach is needed than in ...
Mortaza Abtahi +2 more
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