Results 221 to 230 of about 608 (243)

Nonlinear equations for fuzzy mappings in probabilistic normed spaces

Fuzzy Sets and Systems, 2000
The authors have introduced the concept of probablistic contractor couple in probabilistic normed spaces and have presented two algorithms based on this concept. The existence of solutions for nonlinear equations of fuzzy mappings as well as the convergence of iterative sequences generated by the proposed algorithms are discussed.
Y. J. Cho, N. J. Huang, S. M. Kang
openaire   +1 more source

Menger's 2-Probabilistic Normed Spaces

2014
exaly   +2 more sources

Probabilistic norm of linear operators on PN space

Applied Mathematics and Mechanics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Jianzhong, Jiang, Xingguo
openaire   +2 more sources

On nonlinear equations for fuzzy mappings in probabilistic normed spaces

Fuzzy Sets and Systems, 2002
The author extends the results of \textit{Y. J. Cho}, \textit{H. J. Huang} and \textit{S. M. Kang} [ibid. 110, 115-122 (2000; Zbl 0949.47059)] showing that their concept of a probabilistic \(\psi\)-\(g\)-contractor couple is a particular case of the concept of a probabilistic \(\psi\)-contractor couple given in this paper.
openaire   +1 more source

I-STATISTICAL CONVERGENCE IN PROBABILISTIC NORMED SPACES

2014
In this paper, we introduce a new type of summability notion, namely, I-statistical convergence and I-lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the set ...
GÜRDAL, Mehmet, Savas, Ekrem
openaire   +2 more sources

A Mazur–Ulam theorem for probabilistic normed spaces

Aequationes mathematicae, 2009
A classical theorem of S. Mazur and S. Ulam asserts that any surjective isometry between two normed spaces is an affine mapping. D. Mushtari proved in 1968 the same result in the case of random normed spaces in the sense of A. Sherstnev. The aim of the present paper is to show that the result holds also for the probabilistic normed spaces as defined by
openaire   +1 more source

Probabilistic Normed Spaces

2014
Bernardo Lafuerza Guillen, Panackal Harikrishnan   +1 more
openaire   +2 more sources

On Compactness in Probabilistic Normed Spaces

2020
Fatkić, Berina, Fatkić, Jasmina
openaire   +1 more source

On the Completeness in Probabilistic Normed Spaces

2020
Fatkić, Berina, Fatkić, Jasmina, Fatkić, Hana   +2 more
openaire   +1 more source

On ideal convergence in probabilistic normed spaces

Mathematica Slovaca, 2012
M Mursaleen, S A Mohiuddine
exaly