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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (11): 123-126.doi: 10.6040/j.issn.1671-9352.0.2015.138

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Ky Fan拟不等式的间隙函数和误差界

田晓欢,陈纯荣   

  1. 重庆大学数学与统计学院, 重庆 401331
  • 收稿日期:2016-04-01 出版日期:2016-11-20 发布日期:2016-11-22
  • 通讯作者: 陈纯荣(1981— ),男,博士,副教授,主要研究方向为向量优化.E-mail:chencr1981@163.com E-mail:1023537143@qq.com
  • 作者简介:田晓欢(1991— ),女,硕士研究生,主要研究方向为向量优化.E-mail: 1023537143@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11301567)

Gap functions and error bounds for Ky Fan quasi-inequalities

TIAN Xiao-huan, CHEN Chun-rong   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2016-04-01 Online:2016-11-20 Published:2016-11-22

摘要: 运用像空间分析的方法研究了Ky Fan拟不等式的间隙函数和误差界。由线性正则弱分离函数构造了Ky Fan拟不等式的间隙函数,进而得到一个新的误差界结果,并得到了间隙函数满足上、下半连续性的充分性条件。

关键词: 间隙函数, Ky Fan拟不等式, 误差界, 像空间分析

Abstract: By using the image space analysis, a gap function for the Ky Fan quasi-inequality is constructed by the linear regular weak separation function. Then a new error bound result is obtained. Besides, sufficient conditions for the semi-continuity of gap functions are presented.

Key words: image space analysis, error bound, Ky Fan quasi-inequality, gap function

中图分类号: 

  • O221.6
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[1] 陈霞,陈纯荣. 广义向量变分不等式的间隙函数与误差界[J]. 山东大学学报(理学版), 2017, 52(4): 1-5.
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