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On some Banach space properties sufficient for weak normal structure and their permanence properties. (English) Zbl 0909.47041

Summary: We consider Banach space properties that lie between conditions introduced by Bynum and Landes. These properties depend on the metric behavior of weakly convergent sequences. We also investigate the permanence properties of these conditions.

MSC:

47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
46B20 Geometry and structure of normed linear spaces
47H10 Fixed-point theorems
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