Results 1 to 10 of about 1,441,771 (239)
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 +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 erstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.
Bernardo Lafuerza Guillén +2 more
doaj +5 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
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.
Mahmood Haji Shaabani
exaly +4 more sources
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
doaj +4 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
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
+12 more sources
Fixed point theorems in generating spaces of quasi-norm family and applications
Fixed Point Theory and Applications, 2006 Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied. These spaces are not necessarily locally convex.
Xing-Hua Zhu, Jian-Zhong Xiao
doaj +4 more sources
Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi +3 more
doaj +1 more source
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
openaire +1 more source