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期刊论文

ON THE GENERALIZED FRITZJOHN OPTIMALITY CONDITIONS OF VECTOR OPTIMIZATION WITH SET-VALUED MAPS UNDER BENSON PROPER EFFICIENCY

刘三阳SHENG Bao-huai LIU San-yang

Applied Mathematics and Mechanics (English Edition, Vol 23, No 12, Dec 2002),-0001,():

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摘要/描述

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 J ohn 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 setvalued map is specialized to be a single-valued map.

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