Best Approximation By Upward Sets

Soltani, Zeinab; Goudarzi, Hamid Reza

doi:10.22436/jmcs.014.04.08

J. Math. Computer Sci.

2015

DOI: 10.22436/jmcs.014.04.08

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Best Approximation By Upward Sets

Zeinab Soltani¹,

Hamid Reza Goudarzi²

Abstract: In this paper we prove some results on upward subsets of a Banach lattice with a strong unit. Also we study the best approximation in by elements of upward sets, and we give the necessary and sufficient conditions for any element of best approximation, by a closed subset of .

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2018

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Klassifikation von Optimierungsproblemen

Gröll¹

2018

At - Automatisierungstechnik

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Zusammenfassung Der vorliegende Beitrag gibt einen Überblick zur Optimierung, wobei das Problem als solches und nicht die Algorithmen oder konkrete Anwendungen im Mittelpunkt stehen. Die Probleme werden eingeordnet, ihre Grundideen skizziert, und es werden Software-Tools zu ihrer Lösung genannt. Darüber hinaus diskutiert der Beitrag die Frage der Existenz und Eindeutigkeit von Lösungen für Optimierungsprobleme. Mit Hilfe erweiterter Ableitungskalküle werden notwendige Bedingungen für glatte und nichtglatte Zielfunktionen in endlich- und unendlichdimensionalen Räumen und auf Mannigfaltigkeiten formuliert. Diese mathematisch anspruchsvolleren Darstellungen richten sich an die in der Forschung tätigen Ingenieure.

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Klassifikation von Optimierungsproblemen

Gröll¹

2018

At - Automatisierungstechnik

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Best Approximation By Upward Sets

Abstract: In this paper we prove some results on upward subsets of a Banach lattice with a strong unit. Also we study the best approximation in by elements of upward sets, and we give the necessary and sufficient conditions for any element of best approximation, by a closed subset of .

Cited by 1 publication

References 10 publications

Klassifikation von Optimierungsproblemen

Klassifikation von Optimierungsproblemen

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