Startpoints via weak contractions
General Topology
2018-04-02 v1
Abstract
Startpoints (resp. endpoints) can be defined as "oriented fixed points". They arise naturally in the study of fixed for multi-valued maps defined on quasi-metric spaces. In this article, we give a new result in the startpoint theory for quasi-pseudometric spaces. The result we present is obtained via a generalized weakly contractive set-valued map.
Keywords
Cite
@article{arxiv.1803.11517,
title = {Startpoints via weak contractions},
author = {Collins Amburo Agyingi and Yaé Ulrich Gaba},
journal= {arXiv preprint arXiv:1803.11517},
year = {2018}
}