Results 31 to 40 of about 4,634,933 (288)
Free complete Wasserstein algebras [PDF]
Logical Methods in Computer Science, 2018 We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages.
Radu Mardare +2 more
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Probabilistic \(s_b\) -metric spaces
Malaya Journal of Matematik, 2020 We propose an attractive development of metric spaces termed as a probabilistic \(s_b\)-metric spaces with some examples in this work. Also some of its properties were proved.
null A. Kalpana, null M. Saraswathi
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Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem
Mathematics, 2022 We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
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P-Cyclic C-Contraction Result in Menger Spaces Using a Control Function
Demonstratio Mathematica, 2016 The intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways, one of which being the C-contraction. Cyclic contractions are another type of contractions used extensively
Choudhury B. S., Bhandari S. K.
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Axioms, 2023 The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results.
Huaping Huang +3 more
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φ-Contraction in generalized probabilistic metric spaces [PDF]
Fixed Point Theory and Applications, 2015 AbstractWe use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces. Our work extends some existing results. Moreover, our result is supported with an example.
Alsulami, Saud M +2 more
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Generalized contraction mapping in probabilistic metric space
, 1970 The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed
Shams-ur Rahman, K Jha
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Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
Journal of Function Spaces, 2015 This paper investigates properties of convergence of distances of p-cyclic contractions on the union of the p subsets of an abstract set X defining probabilistic metric spaces and Menger probabilistic metric spaces as well as the characterization of ...
Manuel De la Sen, Erdal Karapınar
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Functional-Type Caristi–Kirk Theorem on Menger Space and Application
Journal of Mathematics, 2020 In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger
Soumia Chaira +3 more
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Convexity in quasi-metric spaces [PDF]
, 2012 Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
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