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

Journal of inequalities and applications

Lifeng Li¹ 

关键词: interval-valued optimization;    interval-valued invex mappings;    sufficiency;   

DOI  :  10.1186/s13660-015-0692-6

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY