# Article

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Keywords:
measure of noncompactness; near convexity; the property of strong $(\alpha ')$
Summary:
The aim of this paper is to derive some relationships between the concepts of the property of strong $(\alpha ')$ introduced recently by Hong-Kun Xu and the so-called characteristic of near convexity defined by Goebel and S\c ekowski. Particularly we provide very simple proof of a result obtained by Hong-Kun Xu.
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