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New Stability Results for Ekeland's ϵ Variational Principles for Vector-Valued and Set-Valued Maps

✍ Scribed by X.X. Huang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 93 KB
Volume: 262
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7357

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✦ Synopsis

In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vector-valued and set-valued maps without scalarization.