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Statistical Cluster Points and Turnpike Theorem in Nonconvex Problems

✍ Scribed by Musa A. Mamedov; Serpil Pehlivan

Book ID: 102591945
Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 78 KB
Volume: 256
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7061

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✦ Synopsis

In this paper we develop the method suggested by S. Pehlivan and M. A.

Ž . Mamedov ''Statistical Cluster Points and Turnpike,'' submitted , where it was proved that under some conditions optimal paths have the same unique stationary limit point᎐stationary cluster point. This notion was introduced by J. A. Fridy Ž . 1993, Proc. Amer. Math. Soc. 118, 1187᎐1192 and it turns out to be a very useful and interesting tool in turnpike theory. The purpose of this paper is to avoid the convexity conditions. Here the turnpike theorem is proved under conditions that are quite different from those of Pehlivan and Mamedov and may be satisfied for the mappings with nonconvex images and for nonconcave functions in the definition of functionals.

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