| Article ID: | iaor1988211 |
| Country: | Germany |
| Volume: | 19 |
| Start Page Number: | 763 |
| End Page Number: | 780 |
| Publication Date: | Dec 1988 |
| Journal: | Optimization |
| Authors: | Kruger A.Ya |
The notion of covering is introduced for a set-valued mapping defined on an arbitrary set in a Banach space. A necessary and sufficient covering criterion is proved. The conditions are formulated in terms of generalized differentials and generalized normals. The covering theorem is applied to deduce formulas of generalized differential calculus and necessary optimality conditions for nonsmooth optimization problems.