We give a simple proof of almost properness of any extremal mapping in the sense of Lempert function or in the sense of Kobayashi-Royden pseudometric.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-6, author = {Armen Edigarian and Przemys\l aw Kli\'s}, title = {Almost Properness of Extremal Mappings}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {57}, year = {2009}, pages = {129-133}, zbl = {1177.32006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-6} }
Armen Edigarian; Przemysław Kliś. Almost Properness of Extremal Mappings. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 129-133. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-6/