文章基本信息

标题：Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
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作者：Zhong-bao Wang ; Zhang-you Chen ; Zhe Chen 等
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