The Hausdorff metric and the contraction mapping theorem

• Main Authors: Basco, Ma. Theresa F., Serrano, Loida B.
• Format: text
• Language: English
• Published: Animo Repository 1993
• Subjects: Metric spaces; Mappings (Mathematics); Contractions (Topology); Hausdorff compactifications
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16093
• Institution: De La Salle University

The thesis presents an introduction to the concept of the Hausdorff metric. The hausdorff metric consists of nonempty subspaces of a compact metric space x. One significant application of the Hausdorff metric is fractals. A fractal is a geometric figure in which an identical motif repeats itself on an ever diminishing scale.Programs written in Turbo Pascal version 5.5 are used to illustrate the iterated function system. Printouts from these programs are then used to illustrate the contraction mapping theorem as applied to the Hausdorff metric space H(R2).