A new class of fractional type set-valued functions

Orzan, Alexandru



The so-called ratios of affine functions, introduced by Rothblum (1985) in the framework of finite-dimensional
Euclidean spaces, represent a special class of fractional type vector-valued functions, which transform convex sets into convex sets. The aim of this paper is to show that a similar convexity preserving property holds within a new class of fractional type set-valued functions, acting between any real linear spaces.

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Orzan, Alexandru