The existence of common fixed point results for a Banach
operator pair under certain generalized $\varphi$-contractions is
established. As applications, the corresponding invariant best
approximation results are proved. Our results unify and generalize
various known results to the more general class of
noncommuting mappings.
Publié le : 2009-05-15
Classification:
Common fixed point,
Banach operator pair,
$\varphi$-contraction,
Ćirić contraction,
compatible maps,
invariant approximation,
47H10,
54H25
@article{1244038143,
author = {\'Ciri\'c, L. and Hussain, N. and Akbar, F. and Ume, J. S.},
title = {Common fixed points for Banach operator pairs from the set of best approximations},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 319-336},
language = {en},
url = {http://dml.mathdoc.fr/item/1244038143}
}
Ćirić, L.; Hussain, N.; Akbar, F.; Ume, J. S. Common fixed points for Banach operator pairs from the set of best approximations. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 319-336. http://gdmltest.u-ga.fr/item/1244038143/