Implicit contractive maps in ordered metric spaces
General Topology
2013-05-07 v1
Abstract
Further extensions are given to the fixed point result (for implicit contractions) due to Altun and Simsek [Fixed Point Th. Appl., Volume 2010, Article ID 621469]. Some connections with related statements in the area due to Agarwal, El-Gebeily and O'Regan [Appl. Anal., 87 (2008), 109-116] are also discussed. Finally, the old approach in Turinici [An. St. Univ. "A. I. Cuza" Iasi, 22 (1976), 177-180] is presented, for historical reasons.
Cite
@article{arxiv.1305.0832,
title = {Implicit contractive maps in ordered metric spaces},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1305.0832},
year = {2013}
}