Results 11 to 20 of about 457 (250)
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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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 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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Statistical Λ-Convergence in Probabilistic Normed Spaces [PDF]
Journal of Function Spaces, 2017 The main objective of the study was to understand the notion of Λ-convergence and to study the notion of probabilistic normed (PN) spaces. The study has also aimed to define the statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces.
M. Aldhaifallah +3 more
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Countable products of probabilistic normed spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Countable products of probabilistic normed spaces are introduced and studied. In particular, a comparison is made with the analogous constructions for probabilistic metric spaces.
B. Lafuerza Guillen +3 more
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Bounded linear operators on finite dimensional probabilistic normed spaces [PDF]
Surveys in Mathematics and its Applications, 2013 Probabilistic normed spaces were introduced by Serstnev and have been redefined by Alsina, Schweizer, and Sklar. In this paper, we obtain some conditions under which linear operators on finite dimensional probabilistic normed spaces are bounded and ...
Mahmood Haji Shaabani +1 more
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Fréchet differentiation between Menger probabilistic normed spaces [PDF]
Proyecciones (Antofagasta), 2017 In this paper, we define and study Menger weakly and strongly P-convergent sequences and then Menger probabilistic continuity. We also display Frechet differentiation of nonlinear operators between Menger probabilistic normed spaces.
Eghbali, N.
openaire +3 more sources
Some classes of probabilistic normed spaces [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1997 We begin the study of probabilistic normed spaces (briefly PN spaces ) by giving several examples; (a)we present a detailed study of alpha-simple spaces, (b) construct a PN spaceon the vector space of (equivalence classes) of random variables and (c) show that its probabilistic norm alone generates the normes of all L^p and Orlicz spaces.
B. LAFUERZA GUILLEN +2 more
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On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces [PDF]
Abstract and Applied Analysis, 2014 We consider the recently introduced notion of ℐ-statistical convergence (Das, Savas and Ghosal, Appl. Math. Lett., 24(9) (2011), 1509–1514, Savas and Das, Appl. Math. Lett.
Pratulananda Das +2 more
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Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces [PDF]
Discrete Dynamics in Nature and Society, 2010 We introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with Π𝑀 triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be ...
M. Eshaghi Gordji +2 more
doaj +2 more sources