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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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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 +2 more
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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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Revisiting Probabilistic Metric Spaces
International Journal of TopologyThe 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 b-metric spaces and nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2017 This work is for giving the probabilistic aspect to the known b-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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Self-similar random fractal measures using contraction method in probabilistic metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Self-similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures.
József Kolumbán +2 more
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Probabilistic Generalized Metric Spaces and Nonlinear Contractions
Demonstratio Mathematica, 2016 We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
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On Weak Probabilistic φ-Contractions in Menger Probabilistic Metric Spaces
AxiomsTwo 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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Generalized a-min special type contraction results on 2-Menger spaces [PDF]
Bulletin of Natural Sciences Research, 2022 The goal of this paper is to present some novel probabilistic a-minimum contraction results on probabilistic 2-metric spaces. Our findings are based on probabilistic 2-metric spaces, which are the probabilistic generalisations of 2-metric spaces.
Bhandari Samir Kumar, Chandok Sumit
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Quantale-valued Cauchy tower spaces and completeness
Applied General Topology, 2021 Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
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