Minimal element theorems and Ekeland's principle with set relations

Andreas Heinrich Hamel; A Löhne

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Minimal element theorems and Ekeland's principle with set relations

Journal article

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Minimal element theorems and Ekeland's principle with set relations

Andreas Heinrich Hamel and A Löhne

Journal of Nonlinear and Convex Analysis, Vol.7(1), pp.19-37

01/01/2006

Handle:

https://hdl.handle.net/10863/627

Abstract

Minimal point theorem

Set relations

Set-valued optimization

Set-valued variational principle

We derive from them new variants of Eke land's principle for set-valued maps as well as a minimal point theorem in X x Y and Eke land's principle for vector-valued functions.

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Title: Minimal element theorems and Ekeland's principle with set relations
Creators: Andreas Heinrich Hamel
A Löhne
Publication Details: Journal of Nonlinear and Convex Analysis, Vol.7(1), pp.19-37
ISSN: 1345-4773
Series / Volume: 7
Publisher: YOKOHAMA PUBL
Number of pages: 19
Identifiers: (UNIBZ)1866500
991005773377401241
Web of Science ID: 000208543700002
Academic Unit: Faculty of Economics and Management
Language: English
Resource Type: Journal article
Author Names String: Hamel AH, Löhne A

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Minimal element theorems and Ekeland's principle with set relations

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