In this paper, we first study existence theorems of solution for quasivariational inclusion problems. We apply existence theorems of solution for quasivariational inclusion problem to study the existence theorems of solution for the Stampacchia generalized vector quasiequilibrium problems and Stampa
Caristi's fixed point theorem for fuzzy mappings and Ekeland's variational principle
β Scribed by Shih-sen Chang; Qun Luo
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 302 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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 .
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 Ξ΅-variational principle for set-valued mapping, Mathematical Methods of Operations
Without assumptions on the continuity and the subadditivity of Ξ·, by means of Caristi's fixed point theorem, we investigated the existence of fixed points for a Caristi type mapping which partially answered Kirk's problem and improved Caristi's fixed point theorem, Jachymski's fixed point theorem an