GAP FUNCTIONS AND GLOBAL ERROR BOUNDS FOR SET-VALUED MIXED VARIATIONAL INEQUALITIES

In this paper, we introduce some gap functions for set-valued mixed variational inequalities under suitable conditions. We further use these gap functions to study global error bounds for the solutions of set-valued mixed variational inequalities in Hilbert spaces. The results presented in this pape...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 17; no. 4; pp. 1267 - 1286
Main Authors Tang, Guo-ji, Huang, Nan-jing
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.08.2013
Subjects
Error bounds
Hilbert spaces
Indicator functions
Mathematical functions
Variational inequalities
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ISSN1027-5487
2224-6851
DOI10.11650/tjm.17.2013.2247

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Summary:In this paper, we introduce some gap functions for set-valued mixed variational inequalities under suitable conditions. We further use these gap functions to study global error bounds for the solutions of set-valued mixed variational inequalities in Hilbert spaces. The results presented in this paper generalize and improve some corresponding known results in literatures. 2010Mathematics Subject Classification: 90C25, 90C33. Key words and phrases: Mixed variational inequality, Gap function, Global error bound, Set-valued mapping.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.17.2013.2247