Results 31 to 40 of about 23,525 (295)
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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Probabilistic b-metric spaces and nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2017 AbstractThis work is for giving the probabilistic aspect to the knownb-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.
Abderrahim Mbarki, Rachid Oubrahim
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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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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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Formal Program Development with Approximations [PDF]
, 2005 We describe a method for combining formal program development with a disciplined and documented way of introducing realistic compromises, for example necessitated by resource bounds.
Eerke A. Boiten +3 more
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A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was
Youssef Achtoun +3 more
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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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On compactness of probabilistic metric space
Applied Mathematical Sciences, 2014 In this paper we show that every separable probabilistic metric space admits a compatible precompact probabilistic metric and that a probabilistic metric space is compact if and only if is precompact and complete. Finally we give a generalization Niemytzki-Tychonoff theorem [1] to probabilistic metric spaces.
Abderrahim Mbarki +2 more
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Strong $I^K$-Convergence in Probabilistic Metric Spaces
Iranian Journal of Mathematical Sciences and Informatics, 2022 12 pages.
Banerjee, A. K., Paul, M.
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