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Kybernetika 29(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.


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BIB TeX

@article{kyb:1993:3:210-221,

author = {Alt, Walter and Kolumb\'{a}n, Iosif},

title = {An Implicit-Function Theorem for a Class of Monotone Generalized Equations},

journal = {Kybernetika},

volume = {29},

year = {1993},

number = {3},

pages = {210-221}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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