Results 11 to 20 of about 122,069 (234)

Menger probabilistic normed space is a category topological vector space [PDF]

Sahand Communications in Mathematical Analysis, 2016
In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators.
Ildar Sadeqi, Farnaz Yaqub Azari
doaj   +1 more source

Probabilistic Normed Spaces

, 2014
B. L. Guillén, P. Harikrishnan
semanticscholar   +3 more sources

Rough Statistical Convergence of Double Sequences in Probabilistic Normed Spaces [PDF]

Communications in Mathematics and Applications, 2023
In this paper, we have defined rough convergence and rough statistical convergence of double sequences in probabilistic normed spaces which is more generalized version than the rough statistical convergence of double sequences in normed linear spaces ...
Rahul Mondal, Nesar Hossain
semanticscholar   +1 more source

Asymptotically lacunary µ-statistical equivalence of generalized difference sequences in probabilistic normed spaces

Boletim da Sociedade Paranaense de Matemática, 2022
The current article introduces the notion of asymptotically lacunary $(\Delta^n,\mu)$-statistical equivalent sequence in the settings of a probabilistic norm $N$.
R. Haloi, M. Sen, B. Tripathy
semanticscholar   +1 more source

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, P. Muralikrishna, K. Palanivel, Ronnason Chinram   +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

Strong and weak convergences in 2-probabilistic normed spaces

, 2021
In this paper, we have introduced the notions of strong and weak convergences in 2-probabilistic normed spaces (2-PN spaces) and established some of its properties.
P. Harikrishnan, B. L. Guillén, Ravi P. Agawral, H. Moradi   +3 more
semanticscholar   +1 more source

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, Shaabani, Mahmood Haji   +1 more
openaire   +3 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, SEMPI, Carlo, G. Zhang, M. Zhang   +3 more
openaire   +9 more sources