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

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...

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Autores principales:	Zhong-bao Wang, Zhang-you Chen, Zhe Chen
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2019
Materias:	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
Acceso en línea:	https://doaj.org/article/db4cd50d32064e81afd946281648a1e2
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spelling	oai:doaj.org-article:db4cd50d32064e81afd946281648a1e22021-12-02T10:47:21ZGap functions and error bounds for vector inverse mixed quasi-variational inequality problems10.1186/s13663-019-0664-51687-1812https://doaj.org/article/db4cd50d32064e81afd946281648a1e22019-09-01T00:00:00Zhttp://link.springer.com/article/10.1186/s13663-019-0664-5https://doaj.org/toc/1687-1812Abstract 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.Zhong-bao WangZhang-you ChenZhe ChenSpringerOpenarticleVector inverse mixed quasi-variational inequalityGap functionError boundsGeneralized f-projection operatorApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-14 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	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
spellingShingle	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 Zhong-bao Wang Zhang-you Chen Zhe Chen Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
description	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.
format	article
author	Zhong-bao Wang Zhang-you Chen Zhe Chen
author_facet	Zhong-bao Wang Zhang-you Chen Zhe Chen
author_sort	Zhong-bao Wang
title	Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
title_short	Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
title_full	Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
title_fullStr	Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
title_full_unstemmed	Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
title_sort	gap functions and error bounds for vector inverse mixed quasi-variational inequality problems
publisher	SpringerOpen
publishDate	2019
url	https://doaj.org/article/db4cd50d32064e81afd946281648a1e2
work_keys_str_mv	AT zhongbaowang gapfunctionsanderrorboundsforvectorinversemixedquasivariationalinequalityproblems AT zhangyouchen gapfunctionsanderrorboundsforvectorinversemixedquasivariationalinequalityproblems AT zhechen gapfunctionsanderrorboundsforvectorinversemixedquasivariationalinequalityproblems
_version_	1718396734479007744

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

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