Department of Mathematics, University of Utah
Salt Lake City, UT 84112, USA
email: brooks@math.utah.edu
Department of Mathematics, University of Utah
Salt Lake City, UT 84112, USA
email: schmitt@math.utah.edu
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.
Show me the PDF file (703 KB), TEX file file for this article.
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Robert M. Brooks Department of Mathematics, University of Utah Salt Lake City, UT 84112, USA email: brooks@math.utah.edu |
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Klaus Schmitt Department of Mathematics, University of Utah Salt Lake City, UT 84112, USA email: schmitt@math.utah.edu |
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