Countable products of probabilistic normed spaces [PDF]
Countable products of probabilistic normed spaces are introduced and studied.
Lafuerza Guillén, Bernardo +3 more
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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
openaire +1 more source
Exploring $\mathcal{F}$-Contraction Maps in Controlled Menger Probabilistic Metric Spaces and Their Applications to Fractional Differential Equations [PDF]
This paper presents $\mathcal{F}$-contraction mappings in controlled Menger probabilistic metric spaces, extending the concept of Menger probabilistic metric spaces.
Reza Chaharpashlou, Ehsan Lotfali Ghasab
doaj +1 more source
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
doaj +1 more source
Stochastic order on metric spaces and the ordered Kantorovich monad
In earlier work, we had introduced the Kantorovich probability monad on complete metric spaces, extending a construction due to van Breugel. Here we extend the Kantorovich monad further to a certain class of ordered metric spaces, by endowing the spaces ...
Fritz, Tobias, Perrone, Paolo
core +1 more source
Probabilistic Analysis of Facility Location on Random Shortest Path Metrics [PDF]
The facility location problem is an NP-hard optimization problem. Therefore, approximation algorithms are often used to solve large instances. Such algorithms often perform much better than worst-case analysis suggests.
A Rényi +14 more
core +2 more sources
Kannan-type cyclic contraction results in $2$-Menger space [PDF]
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of $t$-norm in our theorems. In our first theorem we use a Hadzic-type $t$-norm.
Binayak Samaddar Choudhury +1 more
doaj +1 more source
Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]
Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi +3 more
doaj +1 more source
Probabilistic metric spaces and hysteresis systems [PDF]
A phenomenological theory of simple hysteresis is constructed with the aid of certain concepts from the theory of probabilistic metric spaces. The predicted forms of the dependence of average energy loss per hysteresis cycle on the maximum excursion of the hysteresis coordinate agree well with experimental results.
Erber, T., Schweizer, B., Sklar, A.
openaire +2 more sources
Minimax theorems in probabilistic metric spaces [PDF]
In this paper, new minimax theorems for mixed lower-upper semicontinuous functions in probabilistic metric spaces are given. As applications, we utilise these results to show the existence of solutions of abstract variational inequalities, implicit variational inequalities and saddle point problems, and the existence of coincidence points in ...
Cho, Y. J. +4 more
openaire +2 more sources

