Results 21 to 30 of about 608 (243)
Convexity in probabilistic Normed space
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
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On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces
This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic and
Saadaoui Brahim +3 more
doaj +1 more source
On Lacunary Statistically Convergent Triple Sequences in Probabilistic Normed Space [PDF]
In this paper we study the concept of lacunary statistical convergent triple sequences in probabilistic normed spaces and prove some basic ...
Esi, Ayhan, Savas, Ekrem
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SOME PROPERTIES OF THE SET OF ALL STRONG UNIFORM CLUSTER POINTS [PDF]
The aim of this paper is to establish some relationship between the set of strong uniform statistical cluster points and the set of strong statistical cluster points of a given sequence in the probabilistic normed space.
Pehlivan, Serpil
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I-statistical convergence in probabilistic normed spaces [PDF]
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 ...
Gürdal, Mehmet, Savaş, Ekrem
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Bounded linear operators on finite dimensional probabilistic normed spaces [PDF]
Probabilistic normed spaces were introduced by Serstnev and have been redefined by Alsina, Schweizer, and Sklar. In this paper, we obtain some conditions under which linear operators on finite dimensional probabilistic normed spaces are bounded and ...
Mahmood Haji Shaabani +1 more
doaj
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
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All‐Optical Reconfigurable Physical Unclonable Function for Sustainable Security
An all‐optical reconfigurable physical unclonable function (PUF) is demonstrated using plasmonic coupling–induced sintering of optically trapped gold nanoparticles, where Brownian motion serves as a robust entropy source. The resulting optical PUF exhibits high encoding density, strong resistance to modeling attacks, and practical authentication ...
Jang‐Kyun Kwak +4 more
wiley +1 more source
Strong Γ-ideal convergence in a probabilistic normed space
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozturk, Fulya +2 more
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Inverse Design of Amorphous Materials With Targeted Properties
AMDEN is a diffusion model framework for the inverse design of amorphous materials with targeted properties. By incorporating Hamiltonian Monte Carlo refinement into the denoising process, the framework overcomes the challenge of generating thermally relaxed disordered structures.
Jonas A. Finkler +4 more
wiley +1 more source

