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  • 标题:Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
  • 本地全文:下载
  • 作者:Zhong-bao Wang ; Zhang-you Chen ; Zhe Chen
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-14
  • DOI:10.1186/s13663-019-0664-5
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is devoted to investigating a vector inverse mixed quasi-variational inequality (VIMQVI). Our aim is to obtain error bounds for VIMQVI in terms of different gap functions, i.e., the residual gap function, the regularized gap function, and the D-gap function. These bounds provide effective estimated distances between an arbitrary feasible point and the solution set of VIMQVI. The approach exploited in this paper is based on the generalized f-projection operator due to Wu and Huang. Our results cover and extend similar results for these problems.
  • 关键词:Vector inverse mixed quasi-variational inequality; Gap function; Error bounds; Generalized f-projection operator
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