## 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 .
Multi-variational Principle, Minimax Theorem, and Applications
โ Scribed by Chin-Cheng Chou; Kung-Fu Ng; ShuZhong Shi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 95 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.
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