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Alternative and Minimax Theorems beyond Vector Spaces

✍ Scribed by Anton Stefanescu

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 129 KB
Volume: 264
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7678

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✦ Synopsis

The main results of this paper concern the minimax equality without algebraic structure of the underlying spaces. They include some classical minimax theorems as special cases and are independent of many other recent results of the same type. The proofs of our minimax theorems are based on some special alternative theorems established under some general connectedness conditions.

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