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

Autor:	Zhong-bao Wang, Zhang-you Chen, Zhe Chen
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Vector inverse mixed quasi-variational inequality Gap function Error bounds Generalized f-projection operator Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-14 (2019)
Druh dokumentu:	article
ISSN:	1687-1812
DOI:	10.1186/s13663-019-0664-5
Popis:	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.
Databáze:	Directory of Open Access Journals
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