Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2543

 Title: Averaging operators and set-valued maps Authors: Valov, Vesko Keywords: Averaging operatorslower semi-continuous maps and functionspreserving minimum and maximum functionalsselections Issue Date: 2014 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 28, Fasc 1-2 (2014), 43p-57p Abstract: We investigate maps admitting, in general, non-linear averaging operators. Characterizations of maps admitting a normed, weakly additive averaging operator which preserves max (resp., min) and weakly preserves min (resp., max) is obtained. We also describe set-valued maps into completely metrizable spaces admitting lower semi-continuous selections. As a corollary, we obtain a description of surjective maps with a metrizable kernel and complete fibers which admit regular linear averaging operators. Description: MSC 2010: 54C35, 54C60. URI: http://hdl.handle.net/10525/2543 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 28, 2014, Fasc. 1-2

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