On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency

SHENG Bao-huai; LIU San-yang

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(12): 1289-1295

SHENG Bao-huai, LIU San-yang. On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1289-1295.

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On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency

SHENG Bao-huai^1,2,
LIU San-yang¹

1.
Department of Applied Mathematics, Xidian University, Xi'an 710071, P R China;
2.
Institute of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P R China

Received Date: 2000-03-29
Rev Recd Date: 2002-05-14
Publish Date: 2002-12-15

Abstract

Abstract

A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set-valued optimization under Benson proper efficiency is established,its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set-valued map is specialized to be a single-valued map.
- Contingent tangent cone,
- set-valued map,
- Benson proper efficiency,
- Fritz John condition

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References(15)

References

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