LEVITIN-POLYAK WELL-POSEDNESS OF GENERALIZED VARIATIONAL INEQUALITY WITH GENERALIZED MIXED VARIATIONAL INEQUALITY CONSTRAINT

摘要

In this paper, we first introduce the concept of Levitin-Polyak well-posedness of generalized :variational inequality with generalized mixed variational inequality constraint (for short,GGVI) in Banach space. We establish some metric characterizations of Levitin-Polyak well-posedness for GGVI. Finally, we derive some conditions under which the GGVI is Levitin-Polyak well-posed.