JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (11): 123-126.doi: 10.6040/j.issn.1671-9352.0.2015.138

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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

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

CLC Number: 

  • O221.6
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