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: 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.
(15288 views)
Book cover: Differential Equations with YouTube ExamplesDifferential Equations with YouTube Examples
by - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
(5994 views)
Book cover: A Friendly Introduction to Differential EquationsA Friendly Introduction to Differential Equations
by
The book covers: The Laplace Transform, Systems of Homogeneous Linear Differential Equations, First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, Applications of Differential Equations.
(10175 views)
Book cover: Nonlinear Analysis and Differential EquationsNonlinear Analysis and Differential Equations
by - University of Utah
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions.
(12580 views)