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Erschienen in:

2015 | OriginalPaper | Buchkapitel

10. Ekeland Variational Principle

verfasst von : Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu

Erschienen in: Set-valued Optimization

Verlag: Springer Berlin Heidelberg

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Abstract

In this chapter we present existence results for minimal points of subsets of the Cartesian product of a complete metric space and a topological vector space with respect to order relations determined by generalized set-valued metrics; such results are useful for deriving EVP type results for vector and scalar functions. Then we derive EVP results of Ha’s type as well as an EVP result for bi-set-valued maps. We end the chapter with an application to error bounds for set-valued optimization problems.

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Titel: Ekeland Variational Principle
verfasst von: Akhtar A. Khan
Christiane Tammer
Constantin Zălinescu
Verlag: Springer Berlin Heidelberg
Buch: Set-valued Optimization
Print ISBN: 978-3-642-54264-0

Electronic ISBN: 978-3-642-54265-7

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-642-54265-7_10