JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (4): 1-5.doi: 10.6040/j.issn.1671-9352.0.2016.469

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Gap functions and error bounds for generalized vector variational inequalities

CHEN Xia, CHEN Chun-rong*   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2016-10-10 Online:2017-04-20 Published:2017-04-11

Abstract: Gap functions for generalized vector variational inequalities were established via linear scalarization approaches. By using some properties of generalized f-projection operators, the regularized gap function was verified. With the condition of the generalized strong pseudomonotonicity, error bounds were obtained.

Key words: gap function, error bound, generalized vector variational inequalities, generalized strong pseudomonotonicity, generalized f-projection

CLC Number: 

  • O221
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