Results 21 to 30 of about 121,863 (139)
Compactness and D-Boundedness in Menger’s 2-Probabilistic Normed Spaces [PDF]
, 2016 The idea of convex sets and various related results in 2-Probabilistic normed spaces were established in \cite{HR}. In this paper, We obtain the concepts of convex series closedness, convex series compactness, boundedness and their interrelationships in ...
P. Harikrishnan +2 more
semanticscholar +1 more source
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.
openaire +2 more sources
Fuzzy stochastic damage mechanics (FSDM) based on fuzzy auto-adaptive control theory
Water Science and Engineering, 2012 In order to fully interpret and describe damage mechanics, the origin and development of fuzzy stochastic damage mechanics were introduced based on the analysis of the harmony of damage, probability, and fuzzy membership in the interval of [0,1].
Ya-jun Wang +3 more
doaj +1 more source
Normability of Probabilistic Normed Spaces
, 2004 Relying on Kolmogorov's classical characterization of normable Topological Vector spaces, we study the normability of those Probabilistic Normed Spaces that are also Topological Vector spaces and provide a characterization of normable erstnev spaces. We also study the normability of other two classes of Probabilistic Normed Spaces.
B. LAFUERZA GUILLEN +2 more
openaire +5 more sources
Invariant and semi-invariant probabilistic normed spaces [PDF]
Chaos, Solitons & Fractals, 2009 We introduce the concept of semi-invariance among the PN spaces. In this paper we will find a sufficient condition for some PN spaces to be semi-invariant. We will show that PN spaces are normal(functional analysis) spaces.Urysohns's lemma, and Tietze extensions theorem for them are proved.
Ghaemi, M.B. +2 more
openaire +2 more sources
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
doaj
Statistical continuity in probabilistic normed spaces
Applicable Analysis, 2008 In this study, we investigate the statistical continuity in a probabilistic normed space. In this context, the statistical continuity properties of the probabilistic norm, the vector addition and the scalar multiplication are examined.
PEHLİVAN, Serpil +1 more
openaire +3 more sources
Quotient probabilistic normed spaces and completeness results [PDF]
Proceedings Mathematical Sciences, 2007 We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.
Lafuerza Guillén, Bernardo +2 more
openaire +3 more sources
Lacunary I-convergence in probabilistic n-normed space
, 2015 In this article using the concept of ideal and lacunary sequence we introduce the concept of lacunary I-convergent, lacunary I-Cauchy and lacunary I ∗ -convergent sequences in probabilistic n-normed space.We obtain some results related to these concepts.
B. Tripathy, M. Sen, Soumitra Nath
semanticscholar +1 more source
µ-Statistically convergent function sequences in probabilistic normed linear spaces
, 2019 In this article, we introduce the concept of µ-statistical convergence and µ-density convergence of sequences of functions defined on a compact subset D of the probabilistic normed space (X, N, ∗), where µ is a finitely additive two valued measure.
M. Sen, Rupan Haloi, B. Tripathy
semanticscholar +1 more source