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Fixed point theorem in metric spaces and its application to the Collatz conjecture

General Mathematics 2025-03-10 v2 Functional Analysis Metric Geometry

Abstract

In this paper, we show the new fixed point theorem in metric spaces. Furthermore, for this fixed point theorem, we apply to the Collatz conjecture.

Keywords

Cite

@article{arxiv.2502.20642,
  title  = {Fixed point theorem in metric spaces and its application to the Collatz conjecture},
  author = {Toshiharu Kawasaki},
  journal= {arXiv preprint arXiv:2502.20642},
  year   = {2025}
}

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13 pages