Tangency conditions for multivalued mappings |
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| Authors: | Abderrahim Jourani |
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| Institution: | (1) Laboratoire Analyse Appliquée et Optimisation, Université de Bourgogne, B.P. 138, 21004 Dijon Cedex, France |
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| Abstract: | 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. |
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| Keywords: | 54C60 52A07 |
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