摘要
在弧式连通凸函数和(p,r)-不变凸函数的基础上,定义一类新的广义凸函数--H-(p,r)-η不变凸函数。基于新函数的广义不变凸假设,研究了一类多目标规划问题的解,建立并证明多目标规划问题的可行解是弱有效解的若干最优性充分条件。
On the basis of arcwise connected convex functions and(p,r)-invex functions,a new class of generalized convex function——H-(p,r)-ηinvex functions was defined.Based on the generalized invexity assumption of new functions,the solutions of a class of multiobjective programming problems were studied,and some optimality sufficient conditions that the feasible solutions of multiobjective programming problems were weakly efficient solutions was established and proved.
作者
牛欢
高晓艳
NIU Huan;GAO Xiaoyan(College of Science,Xi’an University of Science&Technology,Xi’an 710600,China)
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2021年第6期84-89,M0007,M0008,共8页
Journal of Henan University of Science And Technology:Natural Science
基金
国家青年科学基金项目(12001420)。
关键词
H-(p
r)-η不变凸函数
多目标规划
充分条件
弱有效解
H-(p,r)-ηinvex functions
multiobjective programming
sufficient conditions
weakly efficient solutions
