Common fixed point theorems for occasionally weakly compatible maps
Functional Analysis
2009-06-17 v2
Abstract
In this paper, we establish a common fixed point theorem for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our result extends many results existing in the literature as those of Aliouche and Popa [15-20]. Also we establish another common fixed point theorem for four owc single and set-valued maps of Gregu% \v{s} type which generalizes the results of Djoudi and Nisse, Pathak, Cho, Kang and Madharia and we end our work by giving a third theorem which extends the results given by Elamrani & Mehdaoui and Mbarki.
Cite
@article{arxiv.0812.3734,
title = {Common fixed point theorems for occasionally weakly compatible maps},
author = {Hakima Bouhadjera and Christiane Godet-Thobie},
journal= {arXiv preprint arXiv:0812.3734},
year = {2009}
}