An extremum principle for smooth problems

We derive an extremum principle. It can be treated as an intermediate result between the celebrated smooth-convex extremum principle due to Ioffe and Tikhomirov and the Dubovitskii-Milyutin theorem. The proof of this principle is based on a simple generalization of the Fermat's theorem, the smooth-convex extremum principle and the local implicit function theorem. An integro-differential example illustrating the new principle is presented.

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Year of publication:	2020
Authors:	Idczak, Dariusz ; Walczak, Stanisław
Published in:	Games. - Basel : MDPI, ISSN 2073-4336. - Vol. 11.2020, 4, p. 1-6
Publisher:	Basel : MDPI
Subject:	extremum principle \| Fermat's theorem \| local implicit function theorem

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Type of publication:	Article
Type of publication (narrower categories):	Article
Language:	English
Other identifiers:	10.3390/g11040056 [DOI] 1749073803 [GVK] hdl:10419/257474 [Handle]
Source:	EconStor

Persistent link: https://www.econbiz.de/10013200054