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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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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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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A Representation theorem for probabilistic metric spaces in general [PDF]
Czechoslovak Mathematical Journal, 2000 The paper contains a remarkable improvement of a result by \textit{R.\ Stevens} [Fundam.\ Math.\ 61, 259-269 (Zbl 0175.46504)]. Stevens's theorem states that if \((S,F)\) is a Menger space under the \(t\)-norm \(T=\) Min and if each distance distribution function \(F_{pq} (x)\) \((p,q \in S, p \neq q)\) is continuous, then \((S,F)\) is a metrically ...
Nagata, J., Morrel, B., Liu, Mingxue
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Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces
Abstract and Applied Analysis, 2014 We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces.
Chuanxi Zhu, Wenqing Xu, Zhaoqi Wu
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On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions [PDF]
Journal of Function Spaces, 2015 In the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of ...
M. De la Sen
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Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
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n-Tuplet Coincidence Point Theorems in Partially Ordered Probabilistic Metric Spaces
Journal of Function Spaces, 2018 In this paper, we investigate existence of n-tuplet coincidence point theorems in partially ordered probabilistic metric spaces. Also, we gave uniqueness of n-tuplet fixed point theorems in this space.
Arife Aysun Karaaslan, Vatan Karakaya
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A note on φ-contractions in probabilistic and fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2017 [EN] In a recent paper Fang (2015) [1], J.X. Fang generalized a crucial fixed point theorem for probabilistic phi-contractions on complete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually Fang s theorem is an easy consequence of Jachymski s theorem. We also observe that the proof of a fixed point theorem for complete metric
Carmen Alegre, Salvador Romaguera
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces [PDF]
Fixed Point Theory and Applications, 2009 We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
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