@Article{MainkaNiemczyk2012,
author = "Mainka-Niemczyk, Ewelina",
title = "Some properties of set-valued sine families",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "1",
pages = "159--170",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.1.159",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.1.159",
abstract = "Let \(\{F_t : t \geq 0\}\) be a family of continuous additive set-valued functions defined on a convex cone \(K\) in a normed linear space \(X\) with nonempty convex compact values in \(X\). It is shown that (under some assumptions) a regular sine family associated with \(\{F_t : t \geq 0\}\) is continuous and \(\{F_t : t \geq 0\}\) is a continuous cosine family.",
keywords = "set-valued sine and cosine families, continuity of sine families, Hukuhara differences, concave set-valued functions",
issn = "1232-9274"
}