WELL-POSEDNESS OF GENERAL MIXED IMPLICIT QUASI-VARIATIONAL INEQUALITIES, INCLUSION PROBLEMS AND FIXED POINT PROBLEMS

摘要

In this paper the concept of well-posedness to a general mixed im-plicit quasi-variational inequality is generalized and some characterizations of its well-posedness is given. It is proven that under appropriate condi?ions, the well-posedness of a general mixed implicit quasi-variational inequality is equivalent to the well-posedness of a corresponding inclusion problem. We also discuss the re-lations between the well-posedness of a general mixed implicit qua?i-varia?ional inequality and the well-posedness of a fixed point problem. Finally, we derive some conditions unde? which a general mixed implicit quasi-variational inequality is well-posed.