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One remark to Ekeland's variational principle

โœ Scribed by A. Arutyunov; N. Bobylev; S. Korovin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
285 KB
Volume
34
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Parametric Ekeland's variational princip
Parametric Ekeland's variational principle
โœ P.G. Georgiev ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

Ekeland's variational principle in local
Ekeland's variational principle in locally complete spaces
โœ Qiu Jing-Hui ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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.

On Ekeland's Variational Principle and a
On Ekeland's Variational Principle and a Minimax Theorem
โœ Zhong Cheng-Kui ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

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