The aim of this paper is broadly two fold. Firstly, we define a new class of implicit function unifying a multitude of strict contractive conditions and utilize the same to prove a general common fixed point theorem for two pairs of weak compatible mappings satisfying common property $(E.A)$ when underlying space is not necessarily compact. Secondly, we show that common property $(E.A)$ relaxes the required containment of ranges of the involved mappings in common fixed point considerations up to two pairs of mappings.
Publié le : 2009-08-15
Classification:
Common fixed points,
common property $(E.A)$,
weakly compatible mappings,
symmetric spaces and implicit function,
47H10,
54H25
@article{1251832369,
author = {Imdad, M. and Ali, Javid},
title = {Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A)},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 421-433},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832369}
}
Imdad, M.; Ali, Javid. Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A). Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 421-433. http://gdmltest.u-ga.fr/item/1251832369/