Article ID: | iaor20124138 |
Volume: | 53 |
Issue: | 2 |
Start Page Number: | 215 |
End Page Number: | 229 |
Publication Date: | Jun 2012 |
Journal: | Journal of Global Optimization |
Authors: | Lin Lai-Jiu |
Keywords: | programming: nonlinear |
In this paper, we study the existence theorems of solution for variational relation problems. From the existence theorems of solution for variational relation problems, we study equivalent forms of generalized Fan‐Browder fixed point theorem, existence theorems of solutions for Stampacchia vector equilibrium problems and generalized Stampacchia vector equilibrium problems. Our results contains many orginal results and have many applications in Nonlinear Analysis.