This work is considered as a continuation of [19,20,24]. The concepts of $\delta $-compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a $\phi $-type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.
@article{107817,
author = {R. A. Rashwan and Magdy A. Ahmed},
title = {Common fixed points of Gregu\v s type multi-valued mappings},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {37-47},
zbl = {1088.54506},
mrnumber = {1899566},
language = {en},
url = {http://dml.mathdoc.fr/item/107817}
}
Rashwan, R. A.; Ahmed, Magdy A. Common fixed points of Greguš type multi-valued mappings. Archivum Mathematicum, Tome 038 (2002) pp. 37-47. http://gdmltest.u-ga.fr/item/107817/
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