Results 1 to 10 of about 4,163,698 (180)
Completion of probabilistic normed spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 We prove that every probabilistic normed space, either according to the original definition given by erstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.
Bernardo Lafuerza Guillén +2 more
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A study of boundedness in probabilistic normed spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1999 Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed analysis of various boundedness notions for linear operators between such spaces and we study the relationship among them and also with the notion of continuity.
B. Lafuerza Guillén +3 more
core +13 more sources
Journal of Kufa for Mathematics and Computer, 2013 The primary purpose of this paper is to  introduce the, N-coprobabilistic normed space, coprobabilistic dual space of N-coprobabilistic normed space and give some facts that are related of them.
Suad Naji Kadhim, Faria Ali Mohamad
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On locally convex probabilistic normed spaces [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we give the notion of locally convex probabilistic seminormed spaces and discuss some property of locally convex probabilistic seminormed spaces.
Jie Chi +3 more
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Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
Journal of Inequalities and Applications, 2010 We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space (briefly, Šerstnev PN-space) endowed with ΠM.
C. Park +3 more
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On α-Šerstnev probabilistic normed spaces [PDF]
Journal of Inequalities and Applications, 2011 In this article, the condition alpha-S is defined for alpha in ]0,1[U]1, +infty[ and several clases of alpha-Serstnev PN spacesd, the relationship between alpha-simple PN spaces and alpha-Serstnev PN spaces and a study of PN spaces of linear operators wich are alpha-Serstnev PN spaces are given.
Lafuerza Guillén, Bernardo +1 more
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Convexity in probabilistic Normed space
Journal of Physics: Conference Series, 2023 Abstract The local convexity of a PN space is discussed using the idea of probability metric, and the constraint condition of convexity preservation of probabilistic normed space is given. Based on the probability background, it is proved that the probability norm and its linear combination are convex functions.
Xu-hua Xu, Qian Ge
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On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces
Moroccan Journal of Pure and Applied Analysis, 2023 This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic and
Saadaoui Brahim +3 more
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Compact Operators Defined on 2‐Normed and 2‐Probabilistic Normed Spaces [PDF]
Mathematical Problems in Engineering, 2009 The compact operators defined on 2‐normed spaces are investigated, and then the main ideas are generalized to operators defined on 2‐probabilistic normed spaces.
Lael, Fatemeh, Nourouzi, Kourosh
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Statistical Convergence of Double Sequences on Probabilistic Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces.
Sevda Karakus, Kamil Demirci
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