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Operations Research Transactions >

2016 , Vol. 20 >Issue 2: 121 - 126

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2016.02.012

Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization

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  • 1. College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China

Received date: 2015-01-04

  Online published: 2016-06-15

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Abstract

In this paper, some characterizations of co-radiant sets via quasi interior  are obtained. Furthermore, under the nearly C(\varepsilon)-subconvexlikeness, an alternative theorem is established and a linear scalarization result of weakly C(\varepsilon)-efficient solutions via quasi interior is given for a class of vector optimization problems with set-valued maps.

Key words： vector optimization; quasi interior; co-radiant sets; weakly C(\varepsilon)-efficient solutions; scalarization

Cite this article

ZHANG Wanli, XIA Yuanmei, ZHAO Kequan . Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization[J]. Operations Research Transactions, 2016 , 20(2) : 121 -126 . DOI: 10.15960/j.cnki.issn.1007-6093.2016.02.012

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