On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs  

作　　者：LIN Qing-ying HUANG Long-guang 

机构地区：[1]Institute of Mathematics, Jimei University, Xiamen 361021, China

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第2期184-189,共6页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（11074099）

摘　　要：The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.

关 键 词：geodesic metric space geodesic E-quasiconvex functions geodesic E-almostconvex functions geodesic E-convex functions geodesic E-epigraphs 

分 类 号：O174.1[理学—数学]