Results 31 to 40 of about 4,445,349 (240)
, 2022 This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space,
Reza Chaharpashlou +2 more
core +1 more source
Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]
, 2013 Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
core +1 more source
φ-Contraction in generalized probabilistic metric spaces [PDF]
Fixed Point Theory and Applications, 2015 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
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
doaj
Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
Journal of Function Spaces, 2015 This paper investigates properties of convergence of distances of p-cyclic contractions on the union of the p subsets of an abstract set X defining probabilistic metric spaces and Menger probabilistic metric spaces as well as the characterization of ...
Manuel De la Sen, Erdal Karapınar
doaj +1 more source
A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was
Youssef Achtoun +3 more
doaj +1 more source
Functional-Type Caristi–Kirk Theorem on Menger Space and Application
Journal of Mathematics, 2020 In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger
Soumia Chaira +3 more
doaj +1 more source
Strong $I^K$-Convergence in Probabilistic Metric Spaces
Iranian Journal of Mathematical Sciences and Informatics, 2022 12 pages.
Banerjee, A. K., Paul, M.
openaire +3 more sources
Generalized contraction mapping in probabilistic metric space [PDF]
, 2011 The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed
Jha, K, Rahman, Shams-ur
core +1 more source
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
doaj +1 more source