✦ LIBER ✦

Equivalent formulations of Ekeland's variational principle

✍ Scribed by Zili Wu

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 174 KB
Volume: 55
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2003.07.009

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Some equivalent formulations of the gene

Some equivalent formulations of the generalized Ekeland’s variational principle and their applications

✍ Lai-Jiu Lin; Wei-Shih Du 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 208 KB

Ekeland's variational principle in local

Ekeland's variational principle in locally complete spaces

✍ Qiu Jing-Hui 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 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

✍ 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 .

The drop theorem, the petal theorem and

The drop theorem, the petal theorem and Ekeland's variational principle

✍ Jean-Paul Penot 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 751 KB

An Ekeland’s variational principle for s

An Ekeland’s variational principle for set-valued mappings with applications

✍ J. Zeng; S.J. Li 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 488 KB

In this paper, we obtain a general Ekeland's variational principle for set-valued mappings in complete metric space, which is different from those in [G.Y. Chen, X.X. Huang, Ekeland's ε-variational principle for set-valued mapping, Mathematical Methods of Operations

Ekeland’s variational principle for vect

Ekeland’s variational principle for vectorial multivalued mappings in a uniform space

✍ Lai-Jiu Lin; Sung-Yu Wang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 282 KB

In this paper, we establish Ekeland's variational principle and an equilibrium version of Ekeland's variational principle for vectorial multivalued mappings in the setting of separated, sequentially complete uniform spaces. Our approaches and results are different from those in Chen et al. (2008( ),