井冈山大学学报(自然科学版)2025,Vol.46Issue(1):22-27,6.DOI:10.3969/j.issn.1674-8085.2025.01.004
G-ρ不变凸分式规划问题对偶性条件
DUALITY CONDITIONS OFG-ρ INVEX FRACTIONAL PROGRAMMING PROBLEMS
摘要
Abstract
Nonsmooth multi-objective programming is a hot topic in recent years.By G-ρ invex functions,a class of fi-vigi(·)invex,quasi invex and pseudo invex functions were defined.The duality conditions of invex fractional programming were researched,and some dual conditions were obtained,many important conclusions on G invex integral programming were generalized to fractional programming,the research scope of G invex functions were extended.关键词
G-ρ函数/分式规划/对偶条件/多目标Key words
G-ρ functions/fractional programming/duality condition/multi-objective分类
数学引用本文复制引用
王晨阳,李向有,黄紫橙,龙佳柔,白亚荣..G-ρ不变凸分式规划问题对偶性条件[J].井冈山大学学报(自然科学版),2025,46(1):22-27,6.基金项目
国家自然科学基金项目(11961072) (11961072)
延安大学 2022 年省级大学生创新创业训练项目(S202210719121) (S202210719121)