A minimax theorem and two existence theorems of solutions for generalized quasi-variational inequalities in \(H\)-spaces
type: Item
instance of: scholarly article
title: A minimax theorem and two existence theorems of solutions for generalized quasi-variational inequalities in \(H\)-spaces
zbMATH Open document ID: 0990.49007
DOI: 10.1023/A:1006623714303
author: Xian Wu
author: Zhiming Zhang
published in: Acta Mathematica Hungarica
publication date: 2000-05-14T00:00:00Z
review text: The authors present three minimax existence theorems for solutions of generalized quasi-variational inequalities for multivalued mappings in Hausdorff spaces. The first theorem generalizes to \(H\)-spaces the well-known Sion's general minimax theorem [\textit{M. Sion}, Pac. J. Math. 8, 171-176 (1958; Zbl 0081.11502)], at the same time weakening semicontinuity conditions. The next theorem is a generalization of Browder's fixed point theorem [\textit{F. E. Browder}, Math. Ann. 177, 283-301 (1968; Zbl 0176.45204)] while the third one enables to study quasi-variational inequalities for semicontinuous multivalued mappings with nonempty compact weak \(H\)-convex values.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49K35
zbMATH DE Number: 1446783
zbMATH Keywords: quasi-variational inequalities
zbMATH Keywords: minimax theorems
zbMATH Keywords: fixed points
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1446783