Downloads: 4 | Views: 182 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Analysis Study Research Paper | Mathematics | India | Volume 13 Issue 11, November 2024 | Rating: 4.5 / 10
A New Study of Expansive Mappings and Pythagorean Theorem Relationship
Saeed A. A. Al-Salehi, V. C. Borkar
Abstract: This paper explores the relationship between expansive mappings and Pythagoras? theorem in metric space. It examines how expansion mappings keep points apart in their images and connects this concept to the Pythagorean theorem, which deals with side length ratios in right-angled triangles. The interplay between these mappings and the theorem is analyzed to reveal geometric and topological features of metric spaces. The study highlights how expansion mappings both preserve and alter distance relationships, directly linking them to geometric principles. This paper provides a comprehensive view of geometric mapping theory through abstract principles and specific examples.
Keywords: Pythagorean right triangle theorem, Fixed point theorems, Expansive mapping, Metric space, Euclidean space, Coordinate plane
Edition: Volume 13 Issue 11, November 2024,
Pages: 1722 - 1726