Selections of set-valued mappings with hereditarily collectionwise normal domain
نویسندگان
چکیده
منابع مشابه
Σ-products and selections of set-valued mappings
Every lower semi-continuous closed-and-convex valued mapping Φ : X → 2 , where X is a Σ-product of metrizable spaces and Y is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.
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We consider set-valued mappings deened on a linear normed space with convex closed images in IR n. Our aim is to construct selections which are (Hadamard) directionally diierentiable using some approximation of the mul-tifunction. The constructions suggested assume existence of a cone approximation given by a certain "derivative" of the mapping. The rst one makes use of the properties of Steine...
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Let M be a set–valued mapping defined between two Banach spaces E and F . Several important aspects of behavior of M can be characterized in terms of the distance function to images ∆M defined by ∆M (x, y) := d ( y, M(x) ) for all (x, y) ∈ E × F . In this paper, we use this function to scalarize the Fréchet normal regularity of set–valued mappings. The Fréchet subdifferential regularity of ∆M i...
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We consider set-valued mappings acting between two linear normed spaces and having convex closed images. Our aim is to construct selections with directional diierentiability properties up to the second order, using certain tangential approximations of the mapping. The constructions preserve measurability and lead to a directionally diierentiable Castaing representation of measurable multifuncti...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2004
ISSN: 0166-8641
DOI: 10.1016/j.topol.2004.01.005