Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
type: Item
instance of: scholarly article
title: Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
zbMATH Open document ID: 0681.49010
DOI: 10.1016/0022-247X(89)90272-2
author: Carlo Bardaro
author: Rita Ceppitelli
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The paper generalizes a result of \textit{M. Lassonde} [ibid. 97, 151-201 (1983; Zbl 0527.47037)] on variational inequalities by using the extensions of the Knaster-Kuratowski-Mazurkiewicz (KKM) theorem [\textit{B. Knaster}, \textit{C. Kuratowski} and \textit{S. Mazurkiewicz}, Fundam. Math. 14, 132-137 (1929)]. Inequalities are considered in the form \(\cap_{x\in X}F(x)\neq \emptyset\), where \(F: X\to X\) is an H-KKM multifunction operating in H-space \((X,\{\Gamma_ A\})\). Further inequalities for functions with values in a Riesz space are solved.
reviewed by: Igor Bock
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 4115372
zbMATH Keywords: Knaster-Kuratowski-Mazurkiewicz (KKM) theorem
zbMATH Keywords: H-space
zbMATH Keywords: Riesz space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4115372