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/