Journal of Applied Analysis Vol. 1, No. 2, pp. 173179 (1995) 

On affine selections of setvalued functionsSz. WasowiczDepartment of MathematicsTechnical University of Lodz Branch in BielskoBiala ul. Willowa 2 43309 BielskoBiala, Poland email: szw@merc.pb.bielsko.pl Abstract: The main result of this paper is the theorem stating that every convex setvalued function $F:I\mapsto c(Y)$, where $I\subset {\bf R}$ is an interval and $Y$ is a locally convex space, possesses an affine selection. In the case if $Y={\bf R}$ and values of $F$ are closed real intervals we can replace the assumption of convexity of $F$ by the more general condition. Keywords: Setvalued functions, selections, convex (concave) setvalued functions, affine functions,locally convex spaces Classification (MSC2000): 26E25; 54C65 Full text of the article:
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