In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem 2.3.1].
@article{119012,
author = {Tiberiu Trif},
title = {Singularities and equicontinuity of certain families of set-valued mappings},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {39},
year = {1998},
pages = {353-365},
zbl = {0937.46064},
mrnumber = {1651971},
language = {en},
url = {http://dml.mathdoc.fr/item/119012}
}
Trif, Tiberiu. Singularities and equicontinuity of certain families of set-valued mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 353-365. http://gdmltest.u-ga.fr/item/119012/
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