Logo

The Contraction Mapping Principle and Some Applications

The Contraction Mapping Principle and Some Applications
by

Publisher: American Mathematical Society
Number of pages: 90

Description:
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.

Home page url

Download or read it online for free here:
Download link
(690KB, PDF)

Similar books

Book cover: Periodic Solutions for Evolution EquationsPeriodic Solutions for Evolution Equations
by - American Mathematical Society
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
(4176 views)
Book cover: Introduction to the Galois Theory of Linear Differential EquationsIntroduction to the Galois Theory of Linear Differential Equations
by - arXiv
The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.
(5352 views)
Book cover: Elementary Differential EquationsElementary Differential Equations
by - Brooks Cole
This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.
(2091 views)
Book cover: Differential Equations and Linear AlgebraDifferential Equations and Linear Algebra
by - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(1009 views)