摘要
We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points,related to the so-called Rolewicz’s property(α).We give a characterization of those points in terms of continuity properties of the identity mapping.The connection between these two geometric properties is established,and finally an application to approximative compactness is given.
作者
Zihou ZHANG
Vicente MONTESINOS
Chunyan LIU
张子厚;Vicente MONTESINOS;刘春燕(School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China;Instituto de Matemática Pura y Aplicada,Universitat Politècnica de València,C/Vera,s/n,46022 Valencia,Spain)
基金
supported in part by the National Natural Science Foundation of China (11671252,11771248)
supported by Proyecto MTM2014-57838-C2-2-P (Spain)
the Universitat Politècnica de València (Spain)
