𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Ekeland's Variational Principle and a Minimax Theorem

✍ Scribed by Zhong Cheng-Kui


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
141 KB
Volume
205
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


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 .


πŸ“œ SIMILAR VOLUMES


Ekeland's variational principle in local
✍ 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.

New Stability Results for Ekeland's Ο΅ Va
✍ X.X. Huang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 93 KB

In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vect

Existence Theorems of Solutions for Gene
✍ Xian Wu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 176 KB

In this paper, by using particular techniques, two existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure are established; and finally, a new coincidence theorem in locally convex spaces is obtai