Academic Journal

An Extremum Principle for Smooth Problems

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: An Extremum Principle for Smooth Problems
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
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  – Url: https://hdl.handle.net/11089/39350#
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  Data: <searchLink fieldCode="AR" term="%22Idczak%2C+Dariusz%22">Idczak, Dariusz</searchLink><br /><searchLink fieldCode="AR" term="%22Walczak%2C+Stanislaw%22">Walczak, Stanislaw</searchLink>
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  Data: Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland<br />Faculty of Mathematics and Computer Science, Stefan Batory State University, Batorego 64C, 96-100 Skierniewice, Poland
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  Data: 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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  Data: 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
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