Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi +1 more
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Some new lacunary statistical convergence with ideals
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
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On Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces [PDF]
The purpose of this paper is to introduce finite convergence sequences and functions preserving convergence of series in fuzzy n-normed ...
Rahmat, Mohamad Rafi Segi, Elagan, Sayed
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Countable products of probabilistic normed spaces [PDF]
Countable products of probabilistic normed spaces are introduced and studied. In particular, a comparison is made with the analogous constructions for probabilistic metric spaces.
B. Lafuerza Guillen +3 more
openaire +2 more sources
Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces
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 +2 more
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A Hybrid Probabilistic-Neutrosophic Adaptive Convergence Model for Analyzing Innovative Performance of Agricultural Technology Enterprises in the Digital Economy [PDF]
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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On the definition of a probabilistic normed space
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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Normability of Probabilistic Normed Spaces
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 +2 more
openaire +5 more sources
On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space
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
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 +3 more
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