Coincidence points results for families of four relatively nonexpansive mappings on nonconvex domains in $q$-normed spaces have been obtained in the present work. As applications, best
approximation results have been given. These results extend and generalize previously known results to a more general class of non commuting relatively nonexpansive mappings in a~space which is not necessarily locally convex.
Publié le : 2009-09-15
Classification:
Best approximant,
common fixed point,
compatible maps,
contractive jointly continuous family,
$q$-normed space,
relatively nonexpansive mappings,
41A50,
47H10,
54H25
@article{1254330156,
author = {Nashine, Hemant Kumar and Khan, Mohammad Saeed},
title = {Coincidence point results in nonconvex domains of q-normed spaces},
journal = {Funct. Approx. Comment. Math.},
volume = {40},
number = {1},
year = {2009},
pages = { 7-13},
language = {en},
url = {http://dml.mathdoc.fr/item/1254330156}
}
Nashine, Hemant Kumar; Khan, Mohammad Saeed. Coincidence point results in nonconvex domains of q-normed spaces. Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, pp. 7-13. http://gdmltest.u-ga.fr/item/1254330156/