Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems

摘要

We introduced and studied the concept of well-posedness to a generalized mixed variational inequality. Some characterizations are given. Under suitable conditions, we prove that the well-posedness of the generalized rnixed variational inequality is equivalent to the well-posedness of the corresponding inclusion problem. We also discuss the relations between the well-posedness of the,generalized mixed variational inequality and the well-posedness of the corresponding fixed-point problem. Finally, we derive sonic conditions under which the generalized mixed variational inequality is well-posed. (C) 2007 Elsevier Ltd. All rights reserved.