Generalized Variational Relation Problems with Applications

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 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.

• Type: Journal
• Year: 2011
• Where: JOTA
• Authors: Mircea Balaj, Lai-Jiu Lin
• Keywords: Existence Theorem, Inclusion Problem, JOTA 2011, Saddle Point Problem