On Extended Versions of Dancs- Heged\"us-Medvegyev's Fixed Point Theorem
Optimization and Control
2015-08-11 v1
Abstract
In this article we establish some fixed point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further extend in some regards the fixed point theorem proposed by Dancs et al. (1983), the results given by Khanh and Quy (2010, 2011), the preorder principles established by Qiu (2014), and the results obtained by Bao et al. (2015). In addition, we provide examples to illustrate that the improvements of our results are significant.
Keywords
Cite
@article{arxiv.1508.01925,
title = {On Extended Versions of Dancs- Heged\"us-Medvegyev's Fixed Point Theorem},
author = {Truong Bao and Michel Thera},
journal= {arXiv preprint arXiv:1508.01925},
year = {2015}
}