Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces |
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| Authors: | Janusz Matkowski Małgorzata Wróbel |
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| Institution: | 1.Faculty of Mathematics, Computer Science and Econometrics,University of Zielona Góra,Zielona Góra,Poland;2.Institute of Mathematics,Silesian University,Katowice,Poland;3.Institute of Mathematics and Computer Science,Jan D?ugosz University,Cz?stochowa,Poland |
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| Abstract: | We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function. |
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