Generalized Łojasiewicz's inequality for definable and subanalytic multifunctions

This paper is devoted to proving the general {\L}ojasiewicz inequality, in both the definable and subanalytic cases, under the most relaxed assumptions. It means that we drop the usual continuity and compactness assumptions. In the second part of the paper we concentrate on the {\L}ojasiewicz inequality for multifunctions and apply... Show more