强预拟不变凸函数与强拟不变凸函数  

STRONGLY PREQUASI-INVEX FUNCTIONS AND STRONGLY QUASI-INVEX FUNCTIONS

作　　者：刘彩平[1] 杨新民[1] 

机构地区：[1]重庆师范大学数计学院

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

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.

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. 

分 类 号：O221[理学—运筹学与控制论]