Relationships between Properties That Imply the Weak Fixed Point Property

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A Note on Properties That Imply the Fixed Point Property

A Banach space X is said to satisfy the weak fixed point property (fpp) if every nonempty weakly compact convex subsetC, and every nonexpansivemapping T : C→ C (i.e., ‖Tx− Ty‖ ≤ ‖x− y‖ for every x, y ∈ C) has a fixed point, that is, there exists x ∈ C such that T(x) = x. Many properties have been shown to imply fpp. The most recent one is the uniform nonsquareness which is proved by Mazcuñán [2...

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2001

ISSN: 0022-247X

DOI: 10.1006/jmaa.2000.7166