Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/257474 
Year of Publication: 
2020
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 11 [Issue:] 4 [Article No.:] 56 [Publisher:] MDPI [Place:] Basel [Year:] 2020 [Pages:] 1-6
Publisher: 
MDPI, Basel
Abstract: 
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.
Subjects: 
extremum principle
Fermat's theorem
local implicit function theorem
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
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