It is proved that the cylinder X × I over a planar λ-dendroid X has the fixed point property. This is a partial solution of two problems posed by R. H. Bing (cf. [1], Questions 9 and 10).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-3-1, author = {Roman Ma\'nka}, title = {The fixed point property for some cartesian products}, journal = {Fundamenta Mathematicae}, volume = {167}, year = {2001}, pages = {193-203}, zbl = {0976.54033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-3-1} }
Roman Mańka. The fixed point property for some cartesian products. Fundamenta Mathematicae, Tome 167 (2001) pp. 193-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-3-1/