The notion of pair-wise tangential mappings,
which is a generalization of mappings satisfying (E.A) property,
is introduced and used to prove a common fixed point theorem of
Gregus type for a quadruple of self mappings of a metric space
satisfying a strict general contractive condition of integral
type. Our main result generalizes a recent result of A. Djoudi, A.
Alioche [Common fixed point theorems of Gregus type for weakly
compatible mappings satisfying contractive conditions of integral
type, J. Math. Anal. Appl. 329 (2007), 31-45].
Publié le : 2009-05-15
Classification:
Weakly compatible mappings,
coincidence points,
common fixed points,
property (E.A),
common property (E.A),
pair-wise tangential property,
54H25,
47H10
@article{1244038139,
author = {Pathak, Hemant Kumar and Shahzad, Naseer},
title = {Gregus type fixed point results for tangential mappings
satisfying contractive conditions of integral type},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 277-288},
language = {en},
url = {http://dml.mathdoc.fr/item/1244038139}
}
Pathak, Hemant Kumar; Shahzad, Naseer. Gregus type fixed point results for tangential mappings
satisfying contractive conditions of integral type. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 277-288. http://gdmltest.u-ga.fr/item/1244038139/