%0 Electronic Article %A Liu, Xiaoling and Yuan, Dehui and Xu, Chuanqing %I Springer Science and Business Media LLC %D 2013 %D 2013 %G English %@ 1029-242X %~ Katalog UB TU-Chemnitz %T A note on G-preinvex functions %V 2013 %J Journal of Inequalities and Applications %V 2013 %N 1 %U http://dx.doi.org/10.1186/1029-242x-2013-169 %X Abstract With the equivalent relationships between the G-generalized invexities and general invexities on the hand, we present two characterizations for G-preinvexity; we also discuss the relationships between different G-generalized invexities such as G-preinvexity, strict G-preinvexity and semistrict G-preinvexity. Note that our results are proved by applying the results from general invexities introduced in the literatures. %Z https://katalog.bibliothek.tu-chemnitz.de/Record/ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE4Ni8xMDI5LTI0MngtMjAxMy0xNjk %U https://katalog.bibliothek.tu-chemnitz.de/Record/ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE4Ni8xMDI5LTI0MngtMjAxMy0xNjk