Academic Journal
An Extremum Principle for Smooth Problems
| Τίτλος: | An Extremum Principle for Smooth Problems |
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| Συγγραφείς: | Idczak, Dariusz, Walczak, Stanislaw |
| Συνεισφορές: | Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland, Faculty of Mathematics and Computer Science, Stefan Batory State University, Batorego 64C, 96-100 Skierniewice, Poland |
| Στοιχεία εκδότη: | MDPI |
| Έτος έκδοσης: | 2020 |
| Συλλογή: | University of Lodz: Repository (RUŁ) / Instytucjonalne Repozytorium Wiedzy Uniwersytetu Łódzkiego |
| Θεματικοί όροι: | extremum principle, Fermat’s theorem, local implicit function theorem, 90C48, 49K27 |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| Relation: | Games;11(4); 56; Idczak, D.; Walczak, S. An Extremum Principle for Smooth Problems. Games 2020, 11, 56. https://doi.org/10.3390/g11040056; https://hdl.handle.net/11089/39350; https://doi.org/10.3390/g11040056 |
| DOI: | 10.3390/g11040056 |
| Διαθεσιμότητα: | https://hdl.handle.net/11089/39350 https://doi.org/10.3390/g11040056 |
| Rights: | Uznanie autorstwa 4.0 Międzynarodowe ; http://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edsbas.E0C606F1 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.3390/g11040056 |
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