A fixed point theorem for contractive mappings that characterizes metric completeness
General Topology
2012-07-27 v1
Abstract
Inspired by the work of Suzuki in [Proc. Amer. Math. Soc. 136 (2008), 1861--1869] we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in [Proc. Amer. Math. Soc., 40 (1973), 604--608] and characterizes metric completeness.
Cite
@article{arxiv.1207.6207,
title = {A fixed point theorem for contractive mappings that characterizes metric completeness},
author = {Mortaza Abtahi},
journal= {arXiv preprint arXiv:1207.6207},
year = {2012}
}