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On Ekeland’s variational principle

✍ Scribed by Marco Squassina

Book ID
107508588
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
196 KB
Volume
10
Category
Article
ISSN
1661-7738

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📜 SIMILAR VOLUMES

Parametric Ekeland's variational princip
Parametric Ekeland's variational principle
✍ 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.

One remark to Ekeland's variational prin
One remark to Ekeland's variational principle
✍ A. Arutyunov; N. Bobylev; S. Korovin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 285 KB

This article deals with the generalization of Ekeland's first-order necessary conditions of minimum. They are extended to include second-order conditions. The results are applied to variational calculus and mathematical physics.

On Ekeland's Variational Principle and a
On Ekeland's Variational Principle and a Minimax Theorem
✍ Zhong Cheng-Kui 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 141 KB

## IN HONOR OF KY FAN Ekeland's variational principle states that if a Gateaux differentiable Ž . function f has a finite lower bound although it need not attain it , then 5 X Ž .5 for every ⑀ ) 0, there exists some point x such that f x F ⑀. This ⑀ ⑀ Ž . Ž .