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On Stegall’s smooth variational principle

✍ Scribed by Marián Fabian; Catherine Finet


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
142 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis


Assume that every coercive, continuous, and bounded below function defined on a real Banach space attains, after a suitable linear perturbation, a (not necessarily strong) minimum. Then the space is dentable.


📜 SIMILAR VOLUMES


Parametric Ekeland's variational princip
✍ P.G. Georgiev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 491 KB

A parametrized version of Ekeland's variational principle is proved, showing that under suitable conditions, the minimum point of the perturbed function can be chosen to depend continuously on a parameter. Applications of this result are given.