an:05623814
Zbl 1179.49007
Fang, Ya-Ping; Hu, Rong; Huang, Nan-Jing
Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints
EN
Comput. Math. Appl. 55, No. 1, 89-100 (2008).
00215338
2008
j
49J40 49K40
equilibrium problems; optimization problems with equilibrium constraints; well-posedness; metric characterizations; monotonicity
Summary: We generalize the concepts of well-posedness to equilibrium problems and to optimization problems with equilibrium constraints. We establish some metric characterizations of well-posedness for equilibrium problems and for optimization problems with equilibrium constraints. We prove that under suitable conditions, the well-posedness is equivalent to the existence and uniqueness of solutions. The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated for equilibrium problems and for optimization problems with equilibrium constraints.