Displaying similar documents to “First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces.”

Averaging operators and set-valued maps

Valov, Vesko (2014)

Mathematica Balkanica New Series

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MSC 2010: 54C35, 54C60. 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...

Semi-open sets in biclosure spaces

Jeeranunt Khampakdee, Chawalit Boonpok (2009)

Discussiones Mathematicae - General Algebra and Applications

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The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.