Fixed point theorem for generalized Chatterjea type mappings
Metric Geometry
2025-05-27 v1 General Topology
Abstract
We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings. The fixed point theorem for generalized Chatterjea type mappings is proven.
Cite
@article{arxiv.2404.00782,
title = {Fixed point theorem for generalized Chatterjea type mappings},
author = {Ovidiu Popescu and Cristina Maria Păcurar},
journal= {arXiv preprint arXiv:2404.00782},
year = {2025}
}