Results 31 to 40 of about 15,999 (262)
Solution Representation Learning in Multi-Objective Transfer Evolutionary Optimization
IEEE Access, 2021 This paper presents a first study on solution representation learning for inducing greater alignment and hence positive transfers between distinct multi-objective optimization tasks that bear discrepancies in their original search spaces.
Ray Lim +4 more
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Generalized ideal convergence in probabilistic normed spaces [PDF]
Journal of Classical Analysis, 2013 Summary: The aim of this paper is to introduce and study the notion of \(I_\lambda\)-convergence in probabilistic normed space as a variant of the notion of ideal convergence. Also, \(I_\lambda\)-limit point and \(I_\lambda\)-cluster point hase been defined and the relation between them have been established.
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$I^K_ν$-Convergence of functions in probabilistic normed spaces
, 2023 In this paper we study $I^K$-convergence of functions with respect to probabilistic norm $ν$ which is a generalization of $I^*_ν$-convergence in probabilistic norm spaces. We also study on $I^K$-Cauchy functions and $I^K$-limit points with respect to probabilistic norm $ν$ in the same space.
Banerjee, Amar Kumar, Paul, Mahendranath
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$\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
Mathematica Slovaca, 2011 Abstract The purpose of this paper is to introduce and study the concepts of double $\bar \lambda $-statistically convergent and double $\bar \lambda $-statistically Cauchy sequences in probabilistic normed space.
Savaş, Ekrem, Mohiuddine, S.A.
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On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function
Mathematics, 2023 In the paper, it is obtained that there are infinite discrete shifts Ξ(s+ikh), h>0, k∈N0 of the Mellin transform Ξ(s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach
Virginija Garbaliauskienė +2 more
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Strong ideal convergence in probabilistic metric spaces
Proceedings - Mathematical Sciences, 2009 The authors introduce the notion of strong ideal convergence in Probabilistic Metric (=PM) spaces. Let \({\mathcal I}\) be an ideal in \(\mathbb N\) (\(A\cup B\in{\mathcal I}\) if \(A,B\in{\mathcal I}\) and \(B\in{\mathcal I}\) if \(B\subset A\in{\mathcal I}\)).
PEHLİVAN, Serpil +1 more
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Statistical
Journal of Function Spaces, 2017 The main objective of the study was to understand the notion of Λ-convergence and to study the notion of probabilistic normed(PN)spaces. The study has also aimed to define the statistical Λ-convergence and statistical Λ-Cauchy in PN-spaces. The concepts of these approaches have been defined by some examples, which have demonstrated the concepts of ...
Mujahed Al‐Dhaifallah +3 more
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On ideal convergence in probabilistic normed spaces
Mathematica Slovaca, 2011 Abstract An interesting generalization of statistical convergence is I-convergence which was introduced by P.Kostyrko et al [KOSTYRKO,P.—ŠALÁT,T.—WILCZYŃSKI,W.: I-Convergence, Real Anal. Exchange 26 (2000–2001), 669–686]. In this paper, we define and study the concept of I-convergence, I*-convergence, I-limit points and I-cluster points ...
Mursaleen, M., Mohiuddine, S. A.
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Generalized Statistical Convergence in Probabilistic Normed Spaces [PDF]
The Open Mathematics Journal, 2008 In this paper we define the concepts of λ-statistical convergence and λ-statistically Cauchy in probabilistic normed space and prove some interesting results. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence in probabilistic normed spaces.
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Strong and weak convergences in 2-probabilistic normed spaces
Advances in the Theory of Nonlinear Analysis and its Application, 2021 In this paper, we have introduced the notions of strong and weak convergences in 2-probabilistic normed spaces (2-PN spaces) and established some of its properties. Later, we have defined the strong and weak boundedness of a linear map between two 2-PN spaces and proved a necessary and sufficient condition for the linear map between two 2-PN spaces to ...
Harikrishnan PANACKAL +3 more
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