Approximating fixed points of nonexpansive and generalized nonexpansive mappings

M. Maiti and B. Saha

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-6

Abstract:

In this paper we consider a mapping S of the form S = α 0 I + α 1 T + α 2 T 2 + … + α K T K , where α i ≥ 0 . α 1 > 0 with ∑ i = 0 k α i = 1 , and show that in a uniformly convex Banach space the Picard iterates of S converge to a fixed point of T when T is nonexpansive or generalized nonexpansive or even quasinonexpansive.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:463806

DOI: 10.1155/S0161171293000092

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