Article ID: | iaor20111386 |
Volume: | 148 |
Issue: | 1 |
Start Page Number: | 1 |
End Page Number: | 13 |
Publication Date: | Jan 2011 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Lin J, Balaj M |
In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem and an extension of the well know Ky Fan inequality will be established, as particular cases. Some applications concerning a saddle point problem with constraints, existence of a common fixed point for two mappings and an optimization problem with constraints, will be given in the last section of the paper.