Levitin-Polyak well-posedness for variational inequalities and for optimization problems with variational inequality constraints
Rong Hu, Ya-Ping Fang, Nan‐jing Huang · Journal of Industrial and Management Optimization · 2010
In this paper, we study the Levitin-Polyak typewell-posedness of variational inequalities and optimization problemswith variational inequality constraints in Banach spaces. We derivesome criteria and characterizations for these Levitin-Polyakwell-posedness. We also investigate conditions under which theexistence and uniqueness of solution is equivalent to theLevitin-Polyak well-posedness of the problem.