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2014 A-Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem
Pratulananda Das, Sudipta Dutta, S. A. Mohiuddine, Abdullah Alotaibi
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/354846

Abstract

In the first part of the paper, following the works of Pehlivan et al. (2004), 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 Mamedov and Pehlivan (2000). However, all results of this section are presented in terms of a more general notion of -cluster points.

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Pratulananda Das. Sudipta Dutta. S. A. Mohiuddine. Abdullah Alotaibi. "A-Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/354846

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022211
MathSciNet: MR3166601
Digital Object Identifier: 10.1155/2014/354846

Rights: Copyright © 2014 Hindawi

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