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运筹学学报 >

2016 , Vol. 20 >Issue 1: 118 - 124

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2016.01.012

运筹学

参数弱向量平衡问题解集映射的连续性

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  • 1. 遵义师范学院数学与计算科学学院, 贵州 遵义 563002; 2. 贵州师范大学数学与计算机科学学院, 贵阳 550001

收稿日期: 2014-10-24

  网络出版日期: 2016-03-15

基金资助

国家自然科学基金(No. 71461027), 贵州省科学技术基金(No. 黔科合J字LKS[2013]03号), 贵州省科技合作计划课题(No. 黔科合LH字[2015]7055号)

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Continuity of the solution set map to parametric weak vector equilibrium problems

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  • 1. School of Mathematics and Computational Science, Zunyi Normal College, Zunyi 563002, Guizhou, China; 2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China

Received date: 2014-10-24

  Online published: 2016-03-15

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摘要

运用非线性标量化方法, 讨论参数弱向量平衡问题解集映射的上半连续性和下半连续性, 并举例说明了所得结果的正确性.

关键词： 参数弱向量平衡问题; 上半连续性; 下半连续性; 非线性标量化

本文引用格式

罗国旺, 彭艳芳, 刘衍民, 黄建文 . 参数弱向量平衡问题解集映射的连续性[J]. 运筹学学报, 2016 , 20(1) : 118 -124 . DOI: 10.15960/j.cnki.issn.1007-6093.2016.01.012

Abstract

In this paper, using the nonlinear scalarization method, we obtain the upper semicontinuity and lower semicontinuity of the solution mappings to parametric weak vector equilibrium problems. Some examples are given to illustrate our results.

Key words： parametric weak vector equilibrium problem; upper semicontinuity; lower semicontinuity; nonlinear scalarization

参考文献

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