Approximating fixed points of nonexpansive mappings

Guimei Liu, Deng Lei and Shenghong Li

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-5

Abstract:

We consider a mapping S of the form S = α 0 I + α 1 T 1 + α 2 T 2 + ⋯ + α k T k , where α i ≥ 0 , α 0 > 0 , α 1 > 0 and ∑ i = 0 k α i = 1 . We show that the Picard iterates of S converge to a common fixed point of T i ( i = 1 , 2 , … , k ) in a Banach space when T i ( i = 1 , 2 , … , k ) are nonexpansive.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:542948

DOI: 10.1155/S0161171200003252

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