English

The contraction principle in extended context

Functional Analysis 2016-05-13 v1

Abstract

There are several extensions of the classical Banach Fixed Point Theorem in technical literature. A branch of generalizations replaces usual contractivity by weaker but still effective assumptions. Our note follows this stream, presenting an elementary proof for a known fixed point result. Some applications are also considered.

Keywords

Cite

@article{arxiv.1605.03950,
  title  = {The contraction principle in extended context},
  author = {Mihály Bessenyei},
  journal= {arXiv preprint arXiv:1605.03950},
  year   = {2016}
}
R2 v1 2026-06-22T13:59:40.788Z