Xu, Hong-Kun Measures of noncompactness and normal type structures in Banach spaces. (English) Zbl 0846.46008 Panam. Math. J. 3, No. 2, 17-34 (1993). Summary: Relations of the Kuratowski and the Hausdorff measures of noncompactness with normal type structures are investigated in Banach spaces. In particular, two questions, respectively raised by Garcia-Falset, Jimenez-Melado and Llorens-Fuster and Gao and Lau, are answered. Cited in 1 Document MSC: 46B20 Geometry and structure of normed linear spaces 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems Keywords:Kuratowski and Hausdorff measures of noncompactness; normal type structures PDF BibTeX XML Cite \textit{H.-K. Xu}, Panam. Math. J. 3, No. 2, 17--34 (1993; Zbl 0846.46008) OpenURL