Results 211 to 220 of about 608 (243)

A Short and Partial History of Probabilistic Normed Spaces

Mediterranean Journal of Mathematics, 2006
This contribution aims at presenting a survey of a portion of the theory of Probabilistic Normed spaces. No result will be proved, so that the reader is referred to the original sources for the proofs. The theory of PN spaces has many facets and touches on many branches of mathematics, for instance, geometry, functional analysis, topology, probability.
Carlo Sempi, Sempi Carlo
exaly   +2 more sources

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
openaire   +3 more sources

Linear operators in finite dimensional probabilistic normed spaces

Journal of Mathematical Analysis and Applications, 2008
In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces.
Reza Saadati, S Mansour Vaezpour
exaly   +2 more sources

Lacunary statistically convergent double sequences in probabilistic normed spaces [PDF]

Annali Dell'Universita Di Ferrara, 2012
In this paper, we introduce the concepts of double lacunary statistically convergent and double lacunary statistically Cauchy sequences in probabilistic normed spaces.
S A Mohiuddine, E Savas, Mohiuddine S A
exaly   +2 more sources

Some topologies on a Šerstnev probabilistic normed space

Journal of Mathematical Analysis and Applications, 2008
In this paper we will introduce two other topologies, coarser than the so-called strong topology, on a class of Šerstnev probabilistic normed spaces, and obtain some important properties of these topologies.
Bahrami, Farid
exaly   +2 more sources

Strong Γ-Statistical Convergence in Probabilistic Normed Spaces

Acta Mathematica Vietnamica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ŞENÇİMEN, CELALEDDİN, PEHLİVAN, Serpil   +1 more
openaire   +4 more sources

Multiple sequences in probabilistic normed spaces

Afrika Matematika, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tripathy, Binod Chandra, Goswami, Rupanjali   +1 more
openaire   +1 more source

Convex sets in probabilistic normed spaces

Chaos, Solitons & Fractals, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aghajani, Asadollah, Nourouzi, Kourosh
openaire   +2 more sources

Best approximation on probabilistic normed spaces

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shams, M., Vaezpour, S. M.
openaire   +2 more sources

A NEW APPROACH FOR PROBABILISTICALLY BOUNDED SETS IN MENGER PROBABILISTIC NORMED SPACES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008
The main purpose of this paper is to introduce a new topological structure which is called fuzzifying topological structure determined by the method of co-tower topologies in Menger probabilistic normed spaces. We prove that the fuzzifying topological structure is compatible with the vector structure.
openaire   +1 more source