摘要
本文提出了两类新的广义凸函数—强预拟不变凸函数与强拟不变凸函数.讨论了强预拟不变凸函数与强拟不变凸函数间的关系,强拟不变凸函数与强伪不变凸函数间的关系.研究了强预拟不变凸函数在多目标优化中的应用.
In this paper, two new classes of generalized convex functions, reined strongly prequasi-invex functions and strongly quasi-invex functions, are introduced. The interesting relationships are investigated between strongly prequsi-invex functions and strongly quasi-invex functions, between strongly quasi-invex functions and strongly pesudoinvex functions. Finally, strongly prequasi-invex functions are used in the study of multibjective optimization problems.
出处
《经济数学》
2007年第4期414-419,共6页
Journal of Quantitative Economics
基金
国家自然科学基金(No.10471159)
教育部"新世纪优秀人才支持计划"资助项目
关键词
强预拟不变凸函数
强拟不变凸函数
强伪不变凸函数
预拟不变凸函数.
Strongly prequasi-invex functions,strongly quasi-invex functions, strongly pseudoinvex functions,prequasi-invex functions.
