On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs

LIN Qing-ying, HUANG Long-guang

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

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 2: 184 - 189

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.004

On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs

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Institute of Mathematics, Jimei University

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.

Received date: 2013-05-06

Online published: 2020-11-23

Supported by

Supported by the National Natural Science Foundation of China(11074099)；

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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

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

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