On Carathéodory type selectors in a Hilbert space



Abstract

In this paper we consider a set-valued function of two variables, measurable in the first and continuous in the second variable. Using metric projections we construct for this function a family of selectors which are Carathéodory maps. The existence of Carathéodory selectors was studied by Castaing [2], [3], Cellina [4], Fryszkowski [9] and the first author [11].


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Published : 1986-09-30


KuciaA., & NowakA. (1986). On Carathéodory type selectors in a Hilbert space. Annales Mathematicae Silesianae, 2, 47-52. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14320

Anna Kucia 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
Andrzej Nowak 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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