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Parametric Ekeland's variational principle

✍ Scribed by P.G. Georgiev

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
491 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

One remark to Ekeland's variational prin
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✍ A. Arutyunov; N. Bobylev; S. Korovin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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.

Ekeland's variational principle in local
Ekeland's variational principle in locally complete spaces
✍ Qiu Jing-Hui πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 79 KB

## Abstract We extend Ekeland's variational principle to locally complete locally convex spaces. As an application of the extension, we obtain a drop theorem in locally convex spaces which improves the related known result.

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✍ Zhong Cheng-Kui πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 141 KB

## IN HONOR OF KY FAN Ekeland's variational principle states that if a Gateaux differentiable Ε½ . function f has a finite lower bound although it need not attain it , then 5 X Ε½ .5 for every β‘€ ) 0, there exists some point x such that f x F β‘€. This β‘€ β‘€ Ε½ . Ε½ .