Existence results for Stampacchia and Minty type implicit variational inequalities with multivalued maps

Autor:	Qamrul Hasan Ansari, Lai-Jiu Lin, M.F. Yang, Gábor Kassay
Rok vydání:	2005
Předmět:	Applied Mathematics Mathematical analysis Variational inequality Applied mathematics Type (model theory) Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 61:1-19
ISSN:	0362-546X
DOI:	10.1016/j.na.2004.07.038
Popis:	Stampacchia and Minty type generalized implicit variational inequality problems are considered. We extended the notion of dense pseudomonotonicity for multivalued maps and established several existence results for solutions of these problems in the setting of segment-dense sets. We also studied the existence of solutions of Minty type generalized implicit quasi-variational inequality problems. Some particular cases are also studied. It is shown that our results contain several existing results in the literature as special cases.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e02c9cc288f447167a93cb67950ad8ef https://doi.org/10.1016/j.na.2004.07.038 Zobrazit plný text záznamu Full Text from ScienceDirect