Lower and upper directional differentiability of the set valued maps and their applications
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, vol.10, no.1-3, pp.25-32, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 1-3
- Publication Date: 2003
- Journal Name: DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.25-32
- Keywords: set valued map, derivative sets and differential, marginal function, MAXIMUM PRINCIPLE
- Anadolu University Affiliated: No
Abstract
In this paper the lower and upper directional differentiability concepts of the set valued maps are introduced and the directional differentiability properties of the marginal functions are studied. Sufficient condition ensuring the existence of the directional derivative of the marginal function is obtained.