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2011 Higher-order Generalized Adjacent Derivative and Applications to Duality for Set-valued Optimization
Q. L. Wang, S. J. Li, C. R. Chen
Taiwanese J. Math. 15(3): 1021-1036 (2011). DOI: 10.11650/twjm/1500406282

Abstract

A new notion of the higher-order generalized adjacent derivative for a set-valued map is defined. By virtue of the derivative, a higher-order Mond- Weir type dual problem is introduced for a constrained set-valued optimization problem. The weak duality, strong duality and converse duality theorems are established.

Citation

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Q. L. Wang. S. J. Li. C. R. Chen. "Higher-order Generalized Adjacent Derivative and Applications to Duality for Set-valued Optimization." Taiwanese J. Math. 15 (3) 1021 - 1036, 2011. https://doi.org/10.11650/twjm/1500406282

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1268.90081
MathSciNet: MR2829895
Digital Object Identifier: 10.11650/twjm/1500406282

Subjects:
Primary: 19N15 , 90C29 , 90C46

Keywords: generalized higher-order adjacent set , higher-order generalized adjacent derivative , higher-order Mond-Weir type duality , set-valued optimization , weakly minimal solutions

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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