The Hausdorff metric and the contraction mapping theorem
Date of Publication
1993
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Applied Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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).
Abstract Format
html
Language
English
Format
Accession Number
TU06104
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
56 leaves
Keywords
Metric spaces; Mappings (Mathematics); Contractions (Topology); Hausdorff compactifications
Recommended Citation
Basco, M. F., & Serrano, L. B. (1993). The Hausdorff metric and the contraction mapping theorem. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16093
