Some consequences of Caristi's fixed point theorem, partial answers to some known open problems and its applications
Metric Geometry
2015-06-17 v1 Functional Analysis
Abstract
In this paper, we show that several extension of Banach contraction principle, can be easily derived from the Caristi's theorem is one of the useful generalization of Banach contraction principle in the setting of the complete metric spaces. Moreover, some partial answers to some known open problems are given via Caristi's corollaries. Finally, existence of bounded solutions of a functional equation is studied to support our results.
Keywords
Cite
@article{arxiv.1506.05060,
title = {Some consequences of Caristi's fixed point theorem, partial answers to some known open problems and its applications},
author = {Farshid Khojasteh and Erdal Karapinar and Hassan Khandani},
journal= {arXiv preprint arXiv:1506.05060},
year = {2015}
}