Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 415-419.

Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps

1. Section for Test Design, Chongqing Education Examinations Authority 2. College of Sciences, Chongqing Jiaotong University

Received:2008-06-25 Online:2011-09-30 Published:2023-04-21
About author:ZHANG Jian(1973-), male, native of Chongqing, a lecturer of Chongqing Education Examinations Authority, M.S.D., engages in vector vector optimization; WANG Qi-lin(1971-), male, native of Chongqing,Ph.D., an associate professor of Chongqing Jiaotong University, engages in vector optimization.
Supported by:
Supported by the National Natural Science Foundation of China(10871216)； Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission(KJ100419)； Supported by the Natural Science Foundation Project of CQ CSTC(cstcjjA00019)；

Abstract

Abstract: This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems. By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.

Key words: higher-order contingent(adjacent) set, Henig efficient solutions, higher-order optimality conditions, set-valued optimization

CLC Number:

O224

ZHANG Jian, WANG Qi-lin. Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 415-419.

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Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps

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