Abstract
In this paper, we consider more general forms of generalized vector quasi-equilibrium problems for multivalued maps which include many known vector quasi-equilibrium problems and generalized vector quasi-variational inequality problems as special cases. We establish some existence results for solutions of these problems under pseudomonotonicity and u-hemicontinuity/ℓ- hemicontinuity assumptions.
| Original language | English |
|---|---|
| Pages (from-to) | 85-98 |
| Number of pages | 14 |
| Journal | Mathematical Methods of Operations Research |
| Volume | 65 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2007 |
Keywords
- Generalized vector quasi-equilibrium problems
- Mixed-variational inequalities
- Pseudomonotone maps
- Quasi-equilibrium problem
- Upper (lower) semicontinuity
- u-Hemicontinuous
- ℓ-Hemicontinuous
ASJC Scopus subject areas
- Software
- General Mathematics
- Management Science and Operations Research