Characterization and Applications of Semi-E-preinvex Functions

Characterization and Applications of Semi-E-preinvex Functions

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 generalizatio...

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Veröffentlicht in:数学季刊：英文版 2010 (3), p.436-443
1. Verfasser: QUAN Jing LONG Xian-jun PENG Zai-yun TAN Ying-shuang
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description 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.
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