Results 21 to 30 of about 457 (250)
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. Also we show that in general a totally bounded set is not D-bounded.
Lafuerza Guillén, Bernardo +2 more
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Abstract and Applied Analysis, 2013 The purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.
S. A. Mohiuddine, Abdullah Alotaibi
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Finite products of probabilistic normed spaces [PDF]
, 2004 We consider finite products of probabilistic normed spaces. As is to be expected, the dominance relation plays a central role.
Lafuerza Guillén, Bernardo
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Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 Two concepts—one of statistical convergence and the other of de la Vallée-Poussin mean—play an important role in recent research on summability theory.
Ayhan Esi
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On the Uniqueness of p-Best Approximation in Probabilistic Normed Spaces
International Journal of Nonlinear Sciences and Numerical Simulation, 2017 Abstract The main aim of this paper is to present some basic as well as essential results involving the notion of p-Chebyshev sets in probabilistic normed spaces. In particular, we discuss the convexity of p-Chebyshev sets, decomposition of the space into its special subspaces, and we see a characterization of p-Chebyshev sets in ...
H. R. Goudarzi
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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
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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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Normability of probabilistic normed spaces [PDF]
, 2009 EnRelying on Kolmogorov’s classical characterization of normable topological vector spaces, we study the normability of those probabilistic normed spaces that are also topological vector paces nd provide a characterization of normable Šerstnev spaces. We
Sempi, Carlo +5 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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