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Weak convergence to the fixed point of an asymptotically nonexpansive map

Author: S. C. Bose
Journal: Proc. Amer. Math. Soc. 68 (1978), 305-308
MSC: Primary 47H10
MathSciNet review: 0493543
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Abstract: It is proved that, in certain Banach spaces, any asymptotically nonexpansive and asymptotically regular map has the property that its iterates, applied to any point in the domain, give a sequence converging weakly to a fixed point.

References [Enhancements On Off] (What's this?)

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  • [8] -, Lecture notes on nonexpansive and monotone mappings in Banach spaces, Center for Dynamical Systems, Brown University, Providence, R. I., 1967.
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