Another characterization of convexity for set-valued maps

We give a new necessary and sufficient condition for convexity of a set-valued map F between Banach spaces. It is established for a closed map F having nonconvex values. The main tool in this paper is the coderivative of F which is constructed with the help of an abstract subdifferential notion of P...

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Vydané v:	Numerical functional analysis and optimization Ročník 20; číslo 3-4; s. 341 - 351
Hlavný autor:	Sach, Pham Huu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Marcel Dekker, Inc 01.01.1999 Taylor & Francis
Predmet:	coderivative convexity Exact sciences and technology Mathematical analysis Mathematics Measure and integration Primary:26 A 24 Primary:26 B 25 Primary:26 E 25 Real functions Sciences and techniques of general use Secondary:28 A 15 Set-valued map Convex hull Clark Rockafellar subdifferential Necessary and sufficient condition Coderivative Set valued map Frechet derivative Convexity Banach space
ISSN:	0163-0563, 1532-2467
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