Results 1 to 10 of about 7,133 (253)

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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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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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, Hamid Mottaghi Golshan   +1 more
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Four Types of Fixed-Point Theorems for Multifunctions in Probabilistic Metric Spaces

Mathematics, 2021
An overview of fixed-point theorems (F.P.T.s) for multifunctions in probabilistic metric spaces is given. Extensions of the fixed-point theorems on probabilistic metric spaces of Nadler, Hadžić, Itoh, and Miheţ are presented. In the end, some hints about
Endre Pap
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Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

Journal of Inequalities and Applications, 2021
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
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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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Fixed Point Results under (ϕ, ψ)-Contractive Conditions and their Application in Optimization Problems [PDF]

Control and Optimization in Applied Mathematics, 2022
Fixed point theorems can be used to prove the solvability of optimization problems, differential equations and equilibrium problems, and the intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping ...
Razieh Farokhzad Rostami
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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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Common Fixed Point Theory in Modified Intuitionistic Probabilistic Metric Spaces with Common Property (E.A.) [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and  the common property (E.A.) in   modified  intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some ...
Hamid Shayanpour, Asiyeh Nematizadeh
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Probabilistic approach spaces [PDF]

Mathematica Bohemica, 2017
We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function.
Gunther Jäger
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