Set-valued versions of Ky Fan's inequality with application to variational inclusion theory
type: Item
instance of: scholarly article
title: Set-valued versions of Ky Fan's inequality with application to variational inclusion theory
zbMATH Open document ID: 1031.49008
DOI: 10.1016/S0022-247X(02)00335-9
author: Alexandru Kristály
author: Csaba Varga
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: In this paper the authors prove two generalizations of the Ky Fan minimax inequality. Their approach is based on the set-valued analysis on real normed spaces. As applications, the authors provide proofs of Schauder's and Kakutani's fixed-point theorems. They also solve a variational inclusion problem for set-valued maps and a differential inclusion problem involving the contingent derivative.
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 58C06
zbMATH DE Number: 1956898
zbMATH Keywords: set-valued analysis
zbMATH Keywords: inclusion theory
zbMATH Keywords: fixed-point theorem
zbMATH Keywords: contingent derivative
zbMATH Keywords: Ky Fan minimax inequality
reviewed by: Vicenţiu D. Rădulescu
MaRDI profile type: Publication
cites work: Set-valued analysis
cites work: Q5680680
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: A generalization of Tychonoff's fixed point theorem
cites work: Q4057217
description: scientific article; zbMATH DE number 1956898