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-c...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-11-01
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Series: | Games |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-4336/11/4/56 |
Summary: | 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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ISSN: | 2073-4336 |