测地E-拟凸函数和测地E-图

doi:10.13371/j.cnki.chin.q.j.m.2015.02.004

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 184-189.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.004

测地E-拟凸函数和测地E-图

Institute of Mathematics, Jimei University

收稿日期:2013-05-06 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:LIN Qing-ying(1989-), female, native of Putian, Fujian, a postgraduate of Jimei University, engaged in applied functional analysis and optimization theory; HUANG Long-guang(1961-), male, native of Longyan, Fujian, a professor of Jimei University, engaged in applied functional analysis and optimization theory.
基金资助:
Supported by the National Natural Science Foundation of China(11074099)；

On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs

Institute of Mathematics, Jimei University

Received:2013-05-06 Online:2015-06-30 Published:2020-11-23
About author:LIN Qing-ying(1989-), female, native of Putian, Fujian, a postgraduate of Jimei University, engaged in applied functional analysis and optimization theory; HUANG Long-guang(1961-), male, native of Longyan, Fujian, a professor of Jimei University, engaged in applied functional analysis and optimization theory.
Supported by:
Supported by the National Natural Science Foundation of China(11074099)；

摘要/Abstract

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.

关键词: geodesic metric space, geodesic E-quasiconvex functions, geodesic E-almostconvex functions, geodesic E-convex functions, geodesic E-epigraphs

Abstract: 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.

Key words: geodesic metric space, geodesic E-quasiconvex functions, geodesic E-almostconvex functions, geodesic E-convex functions, geodesic E-epigraphs

中图分类号:

O174.13

林清英, 黄龙光. 测地E-拟凸函数和测地E-图[J]. 数学季刊, 2015, 30(2): 184-189.

LIN Qing-ying, HUANG Long-guang. On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 184-189.

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测地E-拟凸函数和测地E-图

On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs

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