Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

作者：Wang, San-hua; Huang, Nan-jing^*; O'Regan, Donal

来源：Journal of Global Optimization, 2013, 55(1): 189-208.

DOI：10.1007/s10898-012-9980-6

• Well-posedness
• Metric characterization
• Generalized quasi-variational inclusion problem
• Optimization problem with constraint
• Approximating solution sequence

In this paper, well-posedness of generalized quasi-variational inclusion problems and of optimization problems with generalized quasi-variational inclusion problems as constraints is introduced and studied. Some metric characterizations of well-posedness for generalized quasi-variational inclusion problems and for optimization problems with generalized quasi-variational inclusion problems as constraints are given. The equivalence between the well-posedness of generalized quasi-variational inclusion problems and the existence of solutions of generalized quasi-variational inclusion problems is given under suitable conditions.

• 出版日期2013-1
• 单位南昌大学; 四川大学