Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems

Fixed Point Theory and Applications

Zhe Chen¹  Zhang-you Chen²  Zhong-bao Wang² 

[1] Business School, Sichuan University;Department of Mathematics, Southwest Jiaotong University;

关键词: Vector inverse mixed quasi-variational inequality;    Gap function;    Error bounds;    Generalized f-projection operator;   

DOI  :  10.1186/s13663-019-0664-5

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown