Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints

✍ Scribed by Ya-Ping Fang; Rong Hu; Nan-Jing Huang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 258 KB
• Volume: 55
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2007.03.019

✦ Synopsis

In this paper 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.