PROPER SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS

被引：40
作者：
KHANH, PQ
机构：
[1] Center for Optimization and Control, Hanoi, Bo Ho
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1992年 / 74卷 / 01期
关键词：
KUHN-TUCKER PROPER MINIMIZERS; GEOFFRION; BENSON; AND HURWICZ PROPER MINIMIZERS; KUHN-TUCKER CONSTRAINT QUALIFICATIONS; DIFFERENTIABLE C-QUASICONVEXITY; NECESSARY AND OR SUFFICIENT CONDITIONS FOR PROPER MINIMIZERS;
D O I：
10.1007/BF00939895
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We define proper solutions in the Kuhn-Tucker sense for multiobjective mathematical programming problems with parameters in infinite-dimensional spaces and compare them with other definitions via suitable representatives: the Benson, Geoffrion, and Hurwicz properness. Necessary and/or sufficient conditions for proper solutions are proved. Problems with and without constraint qualifications are considered under relaxed convexity and differentiability assumptions.
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收藏
页码：105 / 130
页数：26
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