| Article ID: | iaor20131971 |
| Volume: | 156 |
| Issue: | 2 |
| Start Page Number: | 232 |
| End Page Number: | 246 |
| Publication Date: | Feb 2013 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Balaj M, Lin L |
| Keywords: | programming: nonlinear |
The variational relation problems have been introduced in 2008, by Dinh The Luc, as general models for a large class of problems in nonlinear analysis and applied mathematics. Since this manner of approach proved to be a powerful tool for studying a wide class of problems in nonlinear analysis and applied mathematics, several types of variational relation problems or systems of variational relation problems have been investigated in many recent papers. The present paper fits into this interesting group of works, establishing existence criteria for the solutions of two very general types of variational relation problems.