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.
 Citation: 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.

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

• Rev Recd Date: 2002-05-14
• Publish Date: 2002-12-15
• 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.
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