AN IMPLICIT-FUNCTION THEOREM FOR A CLASS OF MONOTONE GENERALIZED EQUATIONS

Authors
ALT W KOLUMBAN I
Citation
W. Alt et I. Kolumban, AN IMPLICIT-FUNCTION THEOREM FOR A CLASS OF MONOTONE GENERALIZED EQUATIONS, Kybernetika, 29(3), 1993, pp. 210-221
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Applications & Cybernetics
Journal title
Kybernetika → ACNP
ISSN journal
00235954
Volume
29
Issue
3
Year of publication
1993
Pages
210 - 221
Database
ISI
SICI code
0023-5954(1993)29:3<210:AITFAC>2.0.ZU;2-H
Abstract
In this paper we prove an implicit-function theorem for a class of gen eralized equations defined by a monotone set-valued mapping in Hilbert spaces. We give applications to variational inequalities, single-valu ed functions and a class of nonsmooth functions.