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Variational Sets of Multivalued Mappings and a Unified Study of Optimality Conditions.
- Source :
- Journal of Optimization Theory & Applications; Oct2008, Vol. 139 Issue 1, p47-65, 19p
- Publication Year :
- 2008
-
Abstract
- We propose two kinds of variational sets of any order for multivalued mappings and show that they are advantageous over many known generalized derivatives in the use for establishing optimality conditions. Applying these sets, we prove both necessary and sufficient optimality conditions of any order for efficiency and weak efficiency in a unified way. Many corollaries and examples are provided to show that our results include many recent existing ones. The imposed assumptions are very relaxed and the proofs are rather short in comparison with those of recent results in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 139
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 35076155
- Full Text :
- https://doi.org/10.1007/s10957-008-9415-1