向量优化问题的对偶性

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 133-138.

向量优化问题的对偶性

School of Sciences, Jimei University

收稿日期:2010-09-28 出版日期:2012-03-30 发布日期:2023-04-07
作者简介:HUANG Long-guang(1961-), male, native of Shanghang, Fujian, a professor of Jimei University, Ph.D., engaged in applied functional analysis and optimization theory.
基金资助:
Supported by the Natural Science Foundation of Fujian Province(S0650021)

The Duality on Vector Optimization Problems

School of Sciences, Jimei University

Received:2010-09-28 Online:2012-03-30 Published:2023-04-07
About author:HUANG Long-guang(1961-), male, native of Shanghang, Fujian, a professor of Jimei University, Ph.D., engaged in applied functional analysis and optimization theory.
Supported by:
Supported by the Natural Science Foundation of Fujian Province(S0650021)

摘要/Abstract

摘要： Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function. The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied. A general approach for studying duality in vector optimization problems is presented.

关键词: duality, efficient solution, composed convex optimization, K-convex mapping

Abstract: Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function. The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied. A general approach for studying duality in vector optimization problems is presented.

Key words: duality, efficient solution, composed convex optimization, K-convex mapping

中图分类号:

O224

黄龙光. 向量优化问题的对偶性[J]. 数学季刊, 2012, 27(1): 133-138.

HUANG Long-guang. The Duality on Vector Optimization Problems [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 133-138.

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