| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774548 | Journal of Mathematical Analysis and Applications | 2017 | 22 Pages |
Abstract
We investigate several possibilities of obtaining a Åojasiewicz inequality for definable multifunctions and give some examples of applications thereof. In particular, we prove that the Hausdorff distance and its extension to closed sets is definable when composed with definable multifunctions. This allows us to obtain Åojasiewicz-type inequalities for definable multifunctions obtained from Clarke's subgradient or the tangent cone. The paper ends with a Åojasiewicz-type subgradient inequality in the spirit of Bolte-Daniilidis-Lewis-Shiota or Phạm.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maciej P. Denkowski, Paulina PeÅszyÅska,