On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces

We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard wel...

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Main Authors:	Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Hui-Ying Hu, Long He, Yun-Ling Cui
Format:	article
Language:	EN
Published:	Hindawi Limited 2021
Subjects:	Mathematics QA1-939
Online Access:	https://doaj.org/article/d307a34d4ed7459bbffa8085f51994ef
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spelling	oai:doaj.org-article:d307a34d4ed7459bbffa8085f51994ef2021-11-29T00:56:36ZOn the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces2314-478510.1155/2021/9527107https://doaj.org/article/d307a34d4ed7459bbffa8085f51994ef2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9527107https://doaj.org/toc/2314-4785We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established.Lu-Chuan CengYeong-Cheng LiouChing-Feng WenHui-Ying HuLong HeYun-Ling CuiHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
description	We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established.
format	article
author	Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui
author_facet	Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui
author_sort	Lu-Chuan Ceng
title	On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
title_short	On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
title_full	On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
title_fullStr	On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
title_full_unstemmed	On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
title_sort	on the hadamard well-posedness of generalized mixed variational inequalities in banach spaces
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/d307a34d4ed7459bbffa8085f51994ef
work_keys_str_mv	AT luchuanceng onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces AT yeongchengliou onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces AT chingfengwen onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces AT huiyinghu onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces AT longhe onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces AT yunlingcui onthehadamardwellposednessofgeneralizedmixedvariationalinequalitiesinbanachspaces
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces

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