Results 1 to 10 of about 122,069 (234)

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, Changli Yan, Minxian Zhang, Binshan Ju   +3 more
doaj   +4 more sources

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 Šerstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.
Bernardo Lafuerza Guillén, José Antonio Rodríguez Lallena, Carlo Sempi   +2 more
doaj   +5 more sources

Statistical Λ-Convergence in Probabilistic Normed Spaces

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, K. S. Nisar, H. M. Srivastava, M. Mursaleen   +3 more
doaj   +2 more sources

Fróchet differentiation between Menger probabilistic normed spaces [PDF]

Proyecciones (Antofagasta), 2014
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.
N. Eghbali
semanticscholar   +3 more sources

Statistical Convergence of Double Sequences on Probabilistic Normed Spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 2007
The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003.
S. Karakus, K. Demırcı
doaj   +2 more sources

Some new lacunary statistical convergence with ideals [PDF]

Journal of Inequalities and Applications, 2017
In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
doaj   +2 more sources

Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces

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
doaj   +2 more sources

On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces

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, Kaustubh Dutta, Vatan Karakaya   +2 more
doaj   +2 more sources

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, M. B. Ghaemi, H. Majani   +2 more
doaj   +3 more sources

On ideal convergence in probabilistic normed spaces

Mathematica Slovaca, 2012
An interesting generalization of statistical convergence is I-convergence which was introduced by P.Kostyrko et al [KOSTYRKO,P.—ŠALÁT,T.—WILCZYŃSKI,W.: I-Convergence, Real Anal. Exchange 26 (2000–2001), 669–686].
M. Mursaleen, S. A. Mohiuddine
semanticscholar   +3 more sources