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...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.展开更多
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）
文摘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.
