Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization

作者：Lam Quoc Anh; Phan Quoc Khanh^*; Dang Thi My Van

来源：Computers & Mathematics with Applications, 2011, 62(4): 2045-2057.

DOI：10.1016/j.camwa.2011.06.047

• Quasiequilibria
• Quasioptimization
• (Unique) Well-posedness
• Parametric well-posedness
• Sequential level closedness
• Sequential pseudocontinuity

We consider quasiequilibrium and quasioptimization problems. A relaxed level closedness notion is proposed and used together with pseudocontinuity to establish sufficient conditions for parametric well-posedness and well-posedness without semicontinuity assumptions. We prove them in general formulations, though such relaxations allow us to improve some existing results even in simple cases of RI. Several new well-posedness results are also obtained. For topological settings we use sensitivity analysis while for problems on metric spaces we argue on diameters and Kuratowski's and Hausdorffs measures of noncompactness of approximate solution sets.

• 出版日期2011-8