On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs

作     者：LIN Qing-ying HUANG Long-guang 

作者机构：Institute of Mathematics Jimei University Xiamen 361021 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2015年第30卷第2期

页      面：184-189页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：geodesic metric space geodesic E-quasiconvex functions geodesic E-almostconvex functions geodesic E-convex functions geodesic E-epigraphs 

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.