Kybernetika 29 no. 3, 210-221, 1993

An implicit-function theorem for a class of monotone generalized equations

Walter Alt and Iosif Kolumbán

Abstract:

In this paper we prove an implicit-function theorem for a class of generalized equations defined by a monotone set-valued mapping in Hilbert spaces. We give applications to variational inequalities, single-valued functions and a class of nonsmooth functions.

Classification:

49K40, 26B10, 47H15, 54C60, 47H04, 26E25, 47H19, 49J40