The paper contains a fixed point theorem for stable mappings in metric discus spaces (Theorem 10). A consequence is Theorem 11 which is a far-reaching extension of the fundamental result of Browder, Göhde and Kirk for non-expansive mappings.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-8, author = {Lech Pasicki}, title = {A Basic Fixed Point Theorem}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {54}, year = {2006}, pages = {85-88}, zbl = {1105.54022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-8} }
Lech Pasicki. A Basic Fixed Point Theorem. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 85-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-8/