Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints. (English) Zbl 1137.49025

Huang, X. X.; Yang, X. Q.

J. Ind. Manag. Optim. 3, No. 4, 671-684 (2007).

Summary: We study Levitin-Polyak type well-posedness for generalized variational inequality problems with functional constraints, as well as an abstract set constraint. We will introduce several types of generalized Levitin-Polyak well-posednesses, and give various criteria and characterizations for these types of well-posednesses.

MSC:

49K40	Sensitivity, stability, well-posedness
47J20	Variational and other types of inequalities involving nonlinear operators (general)
49J40	Variational inequalities

Keywords:

constrained generalized variational inequality; approximating solution sequence; (generalized) Levitin-Polyak well-posedness; monotone set-valued map; coercivity