On Set Containment Characterizations for Sets Described by Set-Valued Maps with Applications

Abstract In this paper, dual characterizations of the containment of two sets involving convex set-valued maps are investigated. These results are expressed in terms of the epigraph of a conjugate function of infima associated with corresponding set-valued maps. As an application, we establish chara...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Sisarat, Nithirat [verfasserIn]

Wangkeeree, Rabian [verfasserIn]

Lee, Gue Myung [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2019

Schlagwörter:

Set containment

Convexity of set-valued maps

Set-valued optimization

Optimality conditions

Übergeordnetes Werk:

Enthalten in: Journal of optimization theory and applications - Dordrecht [u.a.] : Springer Science + Business Media, 1967, 184(2019), 3 vom: 08. Nov., Seite 824-841

Übergeordnetes Werk:

volume:184 ; year:2019 ; number:3 ; day:08 ; month:11 ; pages:824-841

Links:

Volltext

DOI / URN:

10.1007/s10957-019-01605-9

Katalog-ID:

SPR01501939X

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