We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-2, author = {Andrzej Smajdor}, title = {On absolutely monotone set-valued functions}, journal = {Annales Polonici Mathematici}, volume = {89}, year = {2006}, pages = {113-118}, zbl = {1112.26016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-2} }
Andrzej Smajdor. On absolutely monotone set-valued functions. Annales Polonici Mathematici, Tome 89 (2006) pp. 113-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-2/