Some applications of Caristi's fixed point theorem in metric space
Optimization and Control
2015-12-15 v2
Abstract
In this work, partial answers to Reich, Mizoguchi and Takahashi, and Amini-Harandi's conjectures are presented via a light version of Caristi's fixed point theorem. Moreover, we introduce that many of known fixed point theorem can easily derived from the Caristi's theorem. Finally, existence of bounded solutions of a functional equation is studied.
Keywords
Cite
@article{arxiv.1506.05062,
title = {Some applications of Caristi's fixed point theorem in metric space},
author = {Farshid Khojasteh and Erdal Karapinar and Hasan Khandani},
journal= {arXiv preprint arXiv:1506.05062},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1506.05060