G-ρ不变凸分式规划问题对偶性条件OA
DUALITY CONDITIONS OFG-ρ INVEX FRACTIONAL PROGRAMMING PROBLEMS
光滑多目标规划问题是近几年研究的热点问题,本研究利用G-ρ不变凸函数,定义了fi-vigi(·)不变凸、不变拟凸和不变伪凸函数.并利用新函数研究了不变凸分式规划的对偶问题,得到了几个对偶条件,把G-不变凸整式规划的相关结论推广到分式规划,拓展G-不变凸函数研究范围.
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.
王晨阳;李向有;黄紫橙;龙佳柔;白亚荣
延安大学数学与计算机科学学院,陕西,延安 716000延安大学数学与计算机科学学院,陕西,延安 716000新疆农业大学数理学院,新疆,乌鲁木齐 830052延安大学数学与计算机科学学院,陕西,延安 716000延安大学数学与计算机科学学院,陕西,延安 716000
数学
G-ρ函数分式规划对偶条件多目标
G-ρ functionsfractional programmingduality conditionmulti-objective
《井冈山大学学报（自然科学版）》 2025 (1)
22-27,6
国家自然科学基金项目(11961072)延安大学 2022 年省级大学生创新创业训练项目(S202210719121)
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