Extension properties for monotone sublinear operators

Research Article

Extension properties for monotone sublinear operators

Published in: Quaestiones Mathematicae
Volume 47 , issue 5 , 2024 , pages: 961–970
DOI: 10.2989/16073606.2023.2274605
Author(s): Sorin G. Gal University of Oradea, Romania
Keywords: 47B65 , 47H05 , 47H07 , Monotone operator , sublinear operator , extension theorems , Kantorovich-type theorems , Hahn-Banach type theorem , Choquet integral
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Abstract

In this paper we obtain extension properties for monotone sublinear operators. The results obtained generalize those known for positive linear operators. Several examples illustrating the results obtained are given.
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