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Convexification of super weakly compact sets and measure of super weak noncompactness
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-03-22 , DOI: 10.1090/proc/15393 Kun Tu
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-03-22 , DOI: 10.1090/proc/15393 Kun Tu
Abstract:In the paper, we give a quantitative version of the positive answer to the open question about the convex hull of a super weakly compact set. Measure of super weak noncompactness 
is introduced and proved to share several nice properties with the Hausdorff measure of noncompactness. As an application, a fixed point theorem for 
-condensing maps is given.
中文翻译：
超弱紧集的凸化和超不紧性的测度
摘要：在本文中，我们给出了关于超弱紧集的凸包的开放问题的肯定答案的定量版本。引入了超弱非紧实度的度量，并证明了与Hausdorff非紧实度的度量具有一些良好的特性。作为一个应用，给出了凝聚图的不动点定理。
更新日期：2021-04-22
is introduced and proved to share several nice properties with the Hausdorff measure of noncompactness. As an application, a fixed point theorem for -condensing maps is given. 中文翻译：
超弱紧集的凸化和超不紧性的测度
摘要：在本文中，我们给出了关于超弱紧集的凸包的开放问题的肯定答案的定量版本。
引入了超弱非紧实度的度量，并证明了与Hausdorff非紧实度的度量具有一些良好的特性。作为一个应用，给出了凝聚图的不动点定理。
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