On interval-valued invex mappings and optimality conditions for interval-valued optimization problems

被引:0
|
作者
Lifeng Li
Sanyang Liu
Jianke Zhang
机构
[1] Xi’an University of Posts and Telecommunications,School of Science
[2] Xidian University,Department of Mathematics, School of Science
来源
Journal of Inequalities and Applications | / 2015卷
关键词
interval-valued optimization; interval-valued invex mappings; sufficiency;
D O I
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中图分类号
学科分类号
摘要
In this paper, we first introduce the concept of interval-valued invex mappings by using gH-differentiability and compare it with interval-valued weakly invex mappings. We can observe that interval-valued invex mappings are more general than interval-valued weakly invex mappings. In addition, the sufficient optimality condition for interval-valued objective functions is derived under invexity.
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