We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
@article{107968, author = {Ismat Beg and Mujahid Abbas}, title = {Fixed points and best approximation in Menger convex metric spaces}, journal = {Archivum Mathematicum}, volume = {041}, year = {2005}, pages = {389-397}, zbl = {1109.47047}, mrnumber = {2195492}, language = {en}, url = {http://dml.mathdoc.fr/item/107968} }
Beg, Ismat; Abbas, Mujahid. Fixed points and best approximation in Menger convex metric spaces. Archivum Mathematicum, Tome 041 (2005) pp. 389-397. http://gdmltest.u-ga.fr/item/107968/
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