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Tangency conditions for multivalued mappings

✍ Scribed by Jourani, Abderrahim

Publisher
Springer
Year
1996
Tongue
English
Weight
779 KB
Volume
4
Category
Article
ISSN
0927-6947

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✦ Synopsis

We prove that interiority conditions imply tangency conditions for two multivalued mappings from a topological space into a normed vector space. As a consequence, we obtain the lower semicontinuity of the intersection of two multivalued mappings. An application to the epi-upper semicontinuity of the sum of convex vector-valued mappings is given.

📜 SIMILAR VOLUMES

Qualification Conditions for Calculus Ru
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This paper establishes by a general approach a full calculus for the limiting Frechet and the approximate coderivatives of multivalued mappings. This approach állows us to produce several new verifiable qualification conditions for such calculus rules.

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We prove the existence of a Carathéodory selection for a set-valued mapping satisfying standard conditions. Also, an application to random fixed point for random operators is established.