\(A\)-statistical cluster points in finite dimensional spaces and application to turnpike theorem
type: Item
instance of: scholarly article
title: \(A\)-statistical cluster points in finite dimensional spaces and application to turnpike theorem
zbMATH Open document ID: 1469.40001
DOI: 10.1155/2014/354846
author: Pratulananda Das
author: S. Dutta
author: S. A. Mohiuddine
author: Abdullah Alotaibi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In the first part of the paper, following the works of \textit{S. Pehlivan} et al. [Czech. Math. J. 54, No. 1, 95--102 (2004; Zbl 1045.40004)], we study the set of all \(A\)-statistical cluster points of sequences in \(m\)-dimensional spaces and make certain investigations on the set of all \(A\)-statistical cluster points of sequences in \(m\)-dimensional spaces. In the second part of the paper, we apply this notion to study an asymptotic behaviour of optimal paths and optimal controls in the problem of optimal control in discrete time and prove a general version of turnpike theorem in line of the work of \textit{M. A. Mamedov} and \textit{S. Pehlivan} [Math. Japon. 52, No. 1, 51--55 (2000; Zbl 0964.40001)]. However, all results of this section are presented in terms of a more general notion of \(\mathcal{I}\)-cluster points.
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49K40
zbMATH DE Number: 7022211
Wikidata QID: Q59036455
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/354846
OpenAlex ID: W2063336861
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description: scientific article; zbMATH DE number 7022211