Approximating Common Fixed Point of Two Non-self Nonexpansive Mappings in Banach Spaces

Zhao Liang-cai · Shuxue de shijian yu renshi · 2006

Let E be a real uniformly convex Banach space and C a nonempty closed convex subset of E which is also a nonexpansive retract of E.Let S,T:C→E be two nonexpansive mappings.It is shown that under some suitable conditions, the sequence {x_n} defined by(1.1) converges weakly and strongly to some common fixed point of S,T,respectively.The results presented in this paper also extend and improve some recent results.

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