6533b7d3fe1ef96bd125fdf7
RESEARCH PRODUCT
Tangency conditions for multivalued mappings
Abderrahim Jouranisubject
Discrete mathematicsMathematics::Functional AnalysisIntersectionMathematics::Complex VariablesApplied MathematicsRegular polygonMathematics::General TopologyTangentTopological spaceAnalysisNormed vector spaceMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-06-01 | Set-Valued Analysis |