New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces
Abstract
In this paper, some new unique common fixed point results for an infinite family of self-mappings satisfying phi-contractive condition or psi-varphi-contractive condition on complete 2-metric spaces are obtained, in which the mappings satisfy some contractive condition determined by semi-continuous functions, but do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions.
Copyright © 2015 Yongjie Piao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
Y. Piao, New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces, Adv. Fixed Point Theory 5 (2015), 420–432.
BibTeX
@article{Piao2015,
author = {Piao, Yongjie},
title = {New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {5},
year = {2015},
pages = {420--432},
doi = {}
}