Approximating fixed points of nonexpansive mappings

Senter, H. F.; Dotson, W. G.

doi:10.1090/S0002-9939-1974-0346608-8

Approximating fixed points of nonexpansive mappings
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by H. F. Senter and W. G. Dotson PDF

Proc. Amer. Math. Soc. 44 (1974), 375-380 Request permission

Abstract:

A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.

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