Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 344-348.

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An Existent Condition of Error Bounds for Abstract Linear Inequality System

  

  1. Department of Mathematics,Yunnan University
  • Received:2005-09-17 Online:2008-09-30 Published:2023-09-21
  • About author: ZHAI Zhi-chun(1978- ), male, native of Dingyuan, Anhui, M.S.D., engages in nonsmooth analysis and vector optimization.
  • Supported by:
    Supported by the National Science Foundation of China(10361008);Supported by the Natural Science Foundation of Yunnan Province(2003A0002M);

Abstract: We consider the abstract linear inequality system (A,C,b) and give a sufficient condition for the system (A,C,b) to have an error bound, which extends the previous result.

Key words: error bounds, abstract linear inequality system, quasi-Bishop-Phelps cones

CLC Number: