Results 31 to 40 of about 122,069 (234)
Abstract and Applied Analysis, 2011 We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
M. Eshaghi Gordji +3 more
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Statistical e-convergence of double sequences on probabilistic normed spaces
, 2019 The concept of statistical convergence for double sequences on probabilistic normed spaces was presented by Karakus and Demirci in 2007. The purpose of this paper is to introduce the concept of statistical e-convergence for double sequences and study ...
Sevda Akdağ
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I-convergence in probabilistic n-normed space
Soft Computing, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tripathy, Binod Chandra +2 more
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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
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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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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
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Journal of Inequalities and Applications, 2010 By using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces.
Yeol Je Cho +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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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
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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
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