Abstract
In this paper, a general version of the KKM theorem is derived by using the concept of generalized KKM mappings introduced by Chang and Zhang. By employing our general KKM theorem, we obtain a general minimax inequality which contains several existing ones as special cases. As applications of our general minimax inequality, we derive an existence result for saddle-point problems under general setting. We also establish several existence results for generalized variation inequalities and generalized quasi-variational inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 17-57 |
| Number of pages | 41 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 104 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2000 |
| Externally published | Yes |
Keywords
- Generalized KKM mappings
- Generalized quasi-variational inequalities
- Generalized variational inequalities
- Minimax inequalities
- Transfer closed-valued mappings
- γ-transfer lower semi-continuous functions
ASJC Scopus subject areas
- Management Science and Operations Research
- Control and Optimization
- Applied Mathematics
Fingerprint
Dive into the research topics of 'General KKM theorem with applications to minimax and variational inequalities'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver