Well-posedness for parametric quasivariational inequality problems and for optimization problems with quasivariational inequality constraints

作者：Lalitha C S; Bhatia Guneet^*

来源：Optimization, 2010, 59(7): 997-1011.

DOI：10.1080/02331930902878358

• quasivariational inequality
• set-valued map
• approximating sequence
• well-posedness
• optimization problem

In this article, the concepts of well-posedness and well-posedness in the generalized sense are introduced for parametric quasivariational inequality problems with set-valued maps. Metric characterizations of well-posedness and well-posedness in the generalized sense, in terms of the approximate solutions sets, are presented. Characterization of well-posedness under certain compactness assumptions and sufficient conditions for generalized well-posedness in terms of boundedness of approximate solutions sets are derived. The study is further extended to discuss well-posedness for an optimization problem with quasivariational inequality constraints.

• 出版日期2010