Electronic Journal of Differential Equations,
Monograph 09, 2009, (90 pages).

Title: The contraction mapping principle and some applications
   
Authors: Robert M. Brooks (Univ. of Utah, Salt Lake City, UT, USA)
         Klaus Schmitt    (Univ. of Utah, Salt Lake City, UT, USA)

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.