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: 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.
(6766 views)
Book cover: Ordinary Differential Equations and Dynamical SystemsOrdinary Differential Equations and Dynamical Systems
by - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
(11799 views)
Book cover: Lectures on Analytic Differential EquationsLectures on Analytic Differential Equations
by - American Mathematical Society
A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained demonstrations of several fundamental results.
(10456 views)
Book cover: A Second Course in Elementary Ordinary Differential EquationsA Second Course in Elementary Ordinary Differential Equations
by - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(8484 views)