Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization

SHENG Bao-huai; LIU San-yang

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SHENG Bao-huai, LIU San-yang. Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1447-1456.

Citation:

SHENG Bao-huai, LIU San-yang. Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1447-1456.

Citation:

SHENG Bao-huai, LIU San-yang. Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1447-1456.

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Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization

SHENG Bao-huai¹,
LIU San-yang²

1.
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, P. R. China;

Received Date: 2004-09-17
Rev Recd Date: 2006-08-19
Publish Date: 2006-12-15

Abstract

Abstract

The optimality Kuhn-Tucker condition and the Wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied; Then, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.
- preinvex set-valued function,
- contingent epiderivatives,
- optimality conditions,
- duality

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References(26)

References

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