Results 11 to 20 of about 7,133 (253)

Fixed point theorems in metric spaces and probabilistic metric spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1996
In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho, Keun Saeng Park, Shih-Sen Chang   +2 more
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Revisiting Probabilistic Metric Spaces

International Journal of Topology
The field of probabilistic metric spaces has an intrinsic interest based on a blend of ideas drawn from metric space theory and probability theory. The goal of the present paper is to introduce and study new ideas in this field.
Michael D. Rice
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Probabilistic convergence spaces and generalized metric spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
The category PPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced.
Paul Brock
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On Weak Probabilistic φ-Contractions in Menger Probabilistic Metric Spaces

Axioms
Two new concepts are introduced in this paper: ZH-set and weak probabilistic φ-contraction. Firstly, a fixed-point theorem for weak probabilistic φ-contraction is given in Menger probabilistic metric spaces, which generalizes and unifies several results ...
Dingwei Zheng, Qingming He
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Designs in Finite Metric Spaces: A Probabilistic Approach [PDF]

Graphs and Combinatorics, 2021
18 ...
Shi, Minjia, Rioul, Olivier, Solé, Patrick   +2 more
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Probabilistic metric spaces as enriched categories [PDF]

Fuzzy Sets and Systems, 2013
In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
Dirk Hofmann, C. D. Reis
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Betweenness relations in probabilistic metric spaces [PDF]

Pacific Journal of Mathematics, 1979
Four distinct versions of the betweenness concept for probabilistic metric spaces are defined and studied. Conditions under which some or all of the properties of metric betweenness are satisfied are determined and the relationships among the different concepts are investigated. 1* Introduction.
Moynihan, R., Schweizer, B.
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Ordered probabilistic metric spaces [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989
AbstractProbabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spaces. The latter spaces arise naturally in the study of probability and statistics; they closely resemble the uniform ordered spaces of L. Nachbin.
Kent, D. C., Richardson, G. D.
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Exploring $\mathcal{F}$-Contraction Maps in Controlled Menger Probabilistic Metric Spaces and Their Applications to Fractional Differential Equations [PDF]

Sahand Communications in Mathematical Analysis
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
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The syntactic side of autonomous categories enriched over generalised metric spaces [PDF]

Logical Methods in Computer Science, 2023
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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