Electron. J. Diff. Eqns., Monograph 09, 2009, (90 pages).

The contraction mapping principle and some applications

Robert M. Brooks, Klaus Schmitt

Abstract:
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

Submitted May 2, 2009. Published May 13, 2009.
Math Subject Classifications: 34-02, 34A34, 34B15, 34C25, 34C27, 35A10,
35J25, 35J35, 47H09, 47H10, 49J40, 58C15. Key Words: Contraction mapping principle; variational inequalities; Hilbert's projective metric; Cauchy-Kowalweski theorem; boundary value problems; differential and integral equations.

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Robert M. Brooks
Department of Mathematics, University of Utah
Salt Lake City, UT 84112, USA
email: brooks@math.utah.edu
Klaus Schmitt
Department of Mathematics, University of Utah
Salt Lake City, UT 84112, USA
email: schmitt@math.utah.edu

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