A new contraction principle on the perimeters of triangles and related results
Abstract
In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed point of our newly introduced mapping. In support of our result, we present several examples.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Functional Equations Stability Results
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint