Results 21 to 30 of about 205,855 (287)
The syntactic side of autonomous categories enriched over generalised metric spaces [PDF]
Programs with a continuous state space or that interact with physical processes often require notions of equivalence going beyond the standard binary setting in which equivalence either holds or does not hold.
Fredrik Dahlqvist, Renato Neves
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Probabilistic b-metric spaces and nonlinear contractions [PDF]
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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New dynamic fixed point results in Menger spaces [PDF]
The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim ...
Besma Laouadi +4 more
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We introduce the notions of strongly $\lambda$-statistically pre-Cauchy and strongly Vall´ee-Poussin pre-Cauchy sequences in probabilistic metric spaces endowed with strong topology. And we show that these two new notions are equivalent.
Argha Ghosh, Samiran Das
semanticscholar +1 more source
φ-Contraction in generalized probabilistic metric spaces [PDF]
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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The objective of this paper is to generate two results in probabilistic 2-metric space by using the concepts of conditionally sequential absorbing mappings and pseudo reciprocally continuous mappings. These results stand as generalizations of the theorem
K. Satyanna, V. Srinivas
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Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem [PDF]
Schweizer, Sklar and Thorp proved in 1960 that a Menger space $(G,D,T)$ under a continuous $t$-norm $T$, induce a natural topology $\tau$ wich is metrizable. We extend this result to any probabilistic metric space $(G,D,\star)$ provided that the triangle
Nazaret Bruno, M. Bachir, B. Nazaret
semanticscholar +1 more source
In this paper, first by using the constructions of probabilistic b-metric Menger space and probabilistic metric like Menger space, we introduce probabilistic b-metric like Menger space and present some examples of it.
Mahnaz Khanehgir, Reza Allahyari
doaj
An existence theorem for ordinary differential equation in Menger probabilistic metric space
In this article an existence theorem for an ordinary differential equation in probabilistic metric space is proved.
A. Razani
semanticscholar +1 more source
Free complete Wasserstein algebras [PDF]
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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