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...