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一类集值映射的连续性

杨益民

安徽机电学院学报2001,Vol.16Issue(1):16-21,6.
安徽机电学院学报2001,Vol.16Issue(1):16-21,6.

一类集值映射的连续性

Continuity on a kind of point-to-set mapping

杨益民1

作者信息

  • 1. 安徽机电学院应用数理系,
  • 折叠

摘要

Abstract

Based on the study of the properties of quasilinear function andrecession cone of convex set and by utilizing convex set seperation theorem,parameter constraint set decided by some quasilinear functions on Rn was dealt with.An important theorem was obtained that constraint set mapping is lower semicontinuous (in Berge's meaning) when parameter constraint set changes.According to the theorem,some conclusions on the stability of quasilinear programming can be reached.

关键词

拟线性函数/回收锥/集值映射/下半连续性/参数规划/稳定性

分类

数理科学

引用本文复制引用

杨益民..一类集值映射的连续性[J].安徽机电学院学报,2001,16(1):16-21,6.

安徽机电学院学报

2095-0977

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