摘要
考虑了一类重要的广义凸函数-强拟α-预不变凸函数,首先给出了强拟α-预不变凸函数的一个性质,然后讨论了强拟α-预不变凸函数分别在带不等式约束的非线性规划问题及多目标规划问题中的应用,得到了一些最优性结果.
A class of generalized convex functions, termed strongly quasi α-preinvex functions, is considered. Firstly, one property of strongly quasi α-preinex functions is given. Then, some optimality results are obtained in nonlinear programming problems with inequality constraint and multibjective optimization problems.
出处
《太原师范学院学报(自然科学版)》
2016年第3期16-19,共4页
Journal of Taiyuan Normal University:Natural Science Edition
关键词
强拟α-预不变凸函数
拟α-预不变凸函数
非线性规划
多目标规划
strongly quasia-preinex funetiongs
quasi a-preinex functions
nonlinear programming
multibjective optimization