In this note we derive a theorem about the common fixed point set of commuting nonexpansive mappings defined in Cartesian products of separable spaces. The proof is based on a method due to R. E. Bruck.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-13, author = {Tadeusz Kuczumow and Ma\l gorzata Michalska}, title = {The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces}, journal = {Banach Center Publications}, volume = {75}, year = {2007}, pages = {175-181}, zbl = {1143.47035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-13} }
Tadeusz Kuczumow; Małgorzata Michalska. The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces. Banach Center Publications, Tome 75 (2007) pp. 175-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-13/