Some results concerning the solution mappings of mixed variational inequality problems

Abstract This paper shows some continuities of mappings between the space of mixed variational inequality problems and the graph space of their solution mappings. The space of mixed variational inequality problems is homeomorphic to the graph of a continuous mapping. These generalize the results in...

Full description

Bibliographic Details
Main Authors: Qi-Qing Song, Hui Yang
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1176-z
id doaj-6c1d3888ff844cb39ad04eedf2c1f9a9
record_format Article
spelling doaj-6c1d3888ff844cb39ad04eedf2c1f9a92020-11-25T00:06:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-09-012016111110.1186/s13660-016-1176-zSome results concerning the solution mappings of mixed variational inequality problemsQi-Qing Song0Hui Yang1College of Science, Guizhou UniversityCollege of Science, Guizhou UniversityAbstract This paper shows some continuities of mappings between the space of mixed variational inequality problems and the graph space of their solution mappings. The space of mixed variational inequality problems is homeomorphic to the graph of a continuous mapping. These generalize the results in the corresponding references.http://link.springer.com/article/10.1186/s13660-016-1176-zmixed variational inequalitymonotonehomeomorphism
collection DOAJ
language English
format Article
sources DOAJ
author Qi-Qing Song
Hui Yang
spellingShingle Qi-Qing Song
Hui Yang
Some results concerning the solution mappings of mixed variational inequality problems
Journal of Inequalities and Applications
mixed variational inequality
monotone
homeomorphism
author_facet Qi-Qing Song
Hui Yang
author_sort Qi-Qing Song
title Some results concerning the solution mappings of mixed variational inequality problems
title_short Some results concerning the solution mappings of mixed variational inequality problems
title_full Some results concerning the solution mappings of mixed variational inequality problems
title_fullStr Some results concerning the solution mappings of mixed variational inequality problems
title_full_unstemmed Some results concerning the solution mappings of mixed variational inequality problems
title_sort some results concerning the solution mappings of mixed variational inequality problems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2016-09-01
description Abstract This paper shows some continuities of mappings between the space of mixed variational inequality problems and the graph space of their solution mappings. The space of mixed variational inequality problems is homeomorphic to the graph of a continuous mapping. These generalize the results in the corresponding references.
topic mixed variational inequality
monotone
homeomorphism
url http://link.springer.com/article/10.1186/s13660-016-1176-z
work_keys_str_mv AT qiqingsong someresultsconcerningthesolutionmappingsofmixedvariationalinequalityproblems
AT huiyang someresultsconcerningthesolutionmappingsofmixedvariationalinequalityproblems
_version_ 1725421365860761600