Results 11 to 20 of about 437 (117)

Compact Operators Defined on 2‐Normed and 2‐Probabilistic Normed Spaces [PDF]

Mathematical Problems in Engineering, 2009
The compact operators defined on 2‐normed spaces are investigated, and then the main ideas are generalized to operators defined on 2‐probabilistic normed spaces.
Lael, Fatemeh, Nourouzi, Kourosh
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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. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces.
Sevda Karakus, Kamil Demirci
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Some new lacunary statistical convergence with ideals

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   +1 more source

Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces

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
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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  

A Hybrid Probabilistic-Neutrosophic Adaptive Convergence Model for Analyzing Innovative Performance of Agricultural Technology Enterprises in the Digital Economy [PDF]

Neutrosophic Sets and Systems
This paper introduces a novel mathematical framework that integrates hybrid probabilistic-neutrosophic logic with adaptive rough ideal statistical convergence (AR-I st) to model and analyze the dynamic performance of innovative agricultural technology ...
Hongyan Xie
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Normability of Probabilistic Normed Spaces

, 2004
Relying on Kolmogorov's classical characterization of normable Topological Vector spaces, we study the normability of those Probabilistic Normed Spaces that are also Topological Vector spaces and provide a characterization of normable Šerstnev spaces. We also study the normability of other two classes of Probabilistic Normed Spaces.
B. LAFUERZA GUILLEN, J. A. RODRIGUEZ LALLENA, SEMPI, Carlo   +2 more
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On the definition of a probabilistic normed space

Aequationes Mathematicae, 1992
It is given a new definition of a probabilistic normed space. Before the definition the authors somewhat change equivalently the axioms of a usual norm. The given definition includes the earlier definition of A. N. Serstnev as a special case and leads naturally to the definition of the principal class of probabilistic normed spaces, the Menger spaces.
SCHWEIZER, B., SKLAR, A., Alsina, C.
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On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.
Esi Ayhan
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Fuzzy stochastic damage mechanics (FSDM) based on fuzzy auto-adaptive control theory

Water Science and Engineering, 2012
In order to fully interpret and describe damage mechanics, the origin and development of fuzzy stochastic damage mechanics were introduced based on the analysis of the harmony of damage, probability, and fuzzy membership in the interval of [0,1].
Ya-jun Wang, Wo-hua Zhang, Chu-han Zhang, Feng Jin   +3 more
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