On open mappings and certain spaces satisfying the first countability axiom
نویسندگان
چکیده
منابع مشابه
Fixed Point Theorems for Nonexpansive Mappings Satisfying Certain Boundary Conditions1
Let K be a bounded closed convex subset of a Banach space X with int K 40, and suppose K has the fixed point property with respect to nonexpansive self-mappings (i.e., mappings U: K^K such that \\U(x) U(y)\\ < ||* y||, x,y € K). Let T: K -X be nonexpansive and satisfy inf{||* T(x)\\: x e boundary K, T'x) /Kl > 0. It is shown that if in addition, either (i) T satisfies the Leray-Schauder boundar...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1965
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-57-1-91-96