The contraction mapping principle and some applications

Abstract

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

Keywords

• Contraction mapping principle
• variational inequalities
• Hilbert's projective metric
• Cauchy-Kowalweski theorem
• boundary value problems
• differential and integral equations.