Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13320
Title: A new variant of Ekeland's variational principle for set-valued maps
Authors: Huang, XX
Keywords: Approximate variational principle
Necessary optimality condition
Set-valued map
Set-valued optimization
Issue Date: 2003
Publisher: Taylor & Francis
Source: Optimization, 2003, v. 52, no. 1, p. 53-63 How to cite?
Journal: Optimization 
Abstract: In this article, following the idea used by Göpfert et al. [A. Göpfert, Chr. Tammer and C. Zalinescu (2000). On the vectorial Ekeland's variational principle and minimal points in product spaces. Nonlinear Analysis, Theory, Methods & Applications, 39, 909-922] to derive an Ekeland's variational principle for vector-valued functions, we derive a new variant of Ekeland's variational principle for set-valued maps. Finally, we apply this variational principle to obtain an approximate necessary optimality condition for a class of set-valued optimization problems.
URI: http://hdl.handle.net/10397/13320
ISSN: 0233-1934
EISSN: 1029-4945
DOI: 10.1080/0233193021000058959
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