Results 1 to 10 of about 591 (241)
Best approximation in quotient probabilistic normed space
Journal of Applied Analysis, 2017 In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient ...
Mausumi Sen, Binod Chandra Tripathy
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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 ...
Bernardo Lafuerza Guillén +7 more
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A study of boundedness in probabilistic normed spaces(II) [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 It was shown in Lafuerza-Guillén, Rodríguez-Lallena and Sempi (1999)that uniform boundedness in a Serstnev PN space (V,\un,\tau,\tau^*), named boundedness in the present setting, of a subset A in V with respect to the strong topology is equivalent to the
Lafuerza Guillén, Bernardo
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Lacunary I-convergence in probabilistic n-normed space
Soft Computing, 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 ...
Tripathy, Binod Chandra +2 more
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Lacunary statistically convergent double sequences in probabilistic normed spaces [PDF]
Annali Dell'Universita Di Ferrara, 2012 In this paper, we introduce the concepts of double lacunary statistically convergent and double lacunary statistically Cauchy sequences in probabilistic normed spaces.
S A Mohiuddine, E Savas, Mohiuddine S A
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Some topologies on a Šerstnev probabilistic normed space
Journal of Mathematical Analysis and Applications, 2008 In this paper we will introduce two other topologies, coarser than the so-called strong topology, on a class of Šerstnev probabilistic normed spaces, and obtain some important properties of these topologies.
Bahrami, Farid
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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 ...
Sempi, Carlo +4 more
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Linear operators in finite dimensional probabilistic normed spaces
Journal of Mathematical Analysis and Applications, 2008 In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces.
Reza Saadati, S Mansour Vaezpour
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µ-Statistically convergent function sequences in probabilistic normed linear spaces
Applied Mathematics and Mechanics, 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.
Haloi, Rupam +2 more
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Total boundedness in probabilistic normed spaces [PDF]
, 2012 In this paper, we study total boundedness in probabilistic normed space and we give criterion for total boundedness and D-boundedness in these spaces.
Zhang, Gaoxun +2 more
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