摘要
叫的 E-invex 设置的集合的一个班和功能的一个班调用了功能是的 E-preinvex 函数， semi-E-preinvex 功能和概括 semi-E-preinvex introduced.They 分别地是 电子convex 集合， 电子convex 功能和 semi-E-convex 功能的归纳，另外， invex 集合的归纳和数学编程问题的 preinvex functions.Furthermore 一些 optimality 结果包含了 semi-E-preinvex 函数并且概括了 semi-E-preinvex 函数被获得。
A class of sets called E-invex sets and a class of functions called E-preinvex functions,semi-E-preinvex functions and generalized semi-E-preinvex functions are introduced.They are the generalizations of E-convex sets,E-convex functions and semi-E-convex functions respectively,also the generalizations of invex sets and preinvex functions.Furthermore some optimality results of mathematical programming problems involved semi-E-preinvex functions and generalized semi-E-preinvex functions are obtained.
基金
Supported by Key Disciplines of Shanghai Municipality（Operations Research and Cybernetics）（S30104）
Supported by Shanghai Leading Academic Discipline Project（J50101）
Supported by National Science Foundation Project of CQCSTC（2009BB3372）
