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2009 PROPER CLARKE EPIDERIVATIVE IN SET-VALUED OPTIMIZATION
C. S. Lalitha, R. Arora
Taiwanese J. Math. 13(6A): 1695-1710 (2009). DOI: 10.11650/twjm/1500405609

Abstract

Using the concept of Clarke tangent cone, a new notion of proper Clarke epiderivative for a set-valued map is introduced. Its nature and certain properties are investigated. Finally necessary and sufficient optimality conditions for a constrained set-valued optimization problem have been established in terms of proper Clarke epiderivative.

Citation

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C. S. Lalitha. R. Arora. "PROPER CLARKE EPIDERIVATIVE IN SET-VALUED OPTIMIZATION." Taiwanese J. Math. 13 (6A) 1695 - 1710, 2009. https://doi.org/10.11650/twjm/1500405609

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1223.90045
MathSciNet: MR2583736
Digital Object Identifier: 10.11650/twjm/1500405609

Subjects:
Primary: ‎54C60‎ , 90C26 , 90C30

Keywords: epiderivative , proper minimizers , semilocal convexity , set-valued optimization , tangent cone

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 6A • 2009
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