Back to Search
Start Over
On Vector Quasi-Equilibrium Problems with Set-Valued Maps.
- Source :
- Journal of Optimization Theory & Applications; Dec2003, Vol. 119 Issue 3, p485-498, 14p
- Publication Year :
- 2003
-
Abstract
- In this paper, we introduce a new class of vector quasi-equilibrium problems with set-valued maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are special cases of our new class of equilibrium problems under consideration. Moreover, a number of C-diagonal quasiconvexity properties are proposed for set-valued maps, which are natural generalizations of the γ-diagonal quasiconvexity for real functions. Together with an application of continuous selection and fixed-point theorems, these conditions enable us to prove unified existence results of solutions for such vector equilibrium problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 119
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 11639118
- Full Text :
- https://doi.org/10.1023/B:JOTA.0000006686.19635.ad