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The contraction mapping principle and some applications

Author(s): Robert M. Brooks | Klaus Schmitt

Journal: Electronic Journal of Differential Equations
ISSN 1072-6691

Volume: monograph 09;
Start page: 1;
Date: 2009;
Original page

Keywords: Contraction mapping principle | variational inequalities | Hilbert's projective metric | Cauchy-Kowalweski theorem | boundary value problems | differential and integral equations.

These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric and iterated function systems
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