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.

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

Similar books

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.
(15003 views)
Book cover: Ordinary Differential Equations: A Systems ApproachOrdinary Differential Equations: A Systems Approach
by
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
(10581 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.
(11842 views)
Book cover: Ordinary Differential EquationsOrdinary Differential Equations
by - National University of Singapore
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.
(10460 views)