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标题：Farthest Points and Subdifferential in <svg style="vertical-align:-3.294pt;width:11.0875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.0875 14.1125" width="11.0875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1125)"> <g transform="translate(72,-60.71)"> <text transform="matrix(1,0,0,-1,-71.95,64.04)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑝</tspan> </text> </g> </g> </svg>-Normed Spaces
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作者：S. Hejazian ; A. Niknam ; S. Shadkam 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/196326
出版社：Hindawi Publishing Corporation
摘要：We study the farthest point mapping in a 𝑝-normed space 𝑋 in virtue of subdifferential of 𝑟(𝑥)=sup{‖𝑥−𝑧‖𝑝∶𝑧∈𝑀}, where 𝑀 is a weakly sequentially compact subset of 𝑋. We show that the set of all points in 𝑋 which have farthest point in 𝑀 contains a dense 𝐺𝛿 subset of 𝑋.