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Hölder Continuity of Generalized Convex Set-Valued Mappings

✍ Scribed by Tiberiu Trif

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
106 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

By means of the Minkowski function we define a new concept of local Holder Ž . equicontinuity respectively local Holder continuity for families consisting of Ž .

set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and the equicontinuity of Ž . the family respectively continuity of the mapping is investigated for the so-called rationally s-convex set-valued mappings.

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