The Contraction Mapping Principle and Some Applications
by Robert M. Brooks, Klaus Schmitt
Publisher: American Mathematical Society 2009
Number of pages: 90
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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by Marcel B. Finan - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
by Mohammed K A Kaabar
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