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- W2023770215 abstract "Let C be a closed convex subset of a real uniformly smooth and strictly convex Banach space E. Consider the following iterative algorithm given by {x0=x∈Carbitrarily chosen ,yn=βnxn+(1−βn)Wnxn,xn+1=αnf(xn)+(1−αn)yn,∀n≥0, where f is a contraction on C and Wn is a mapping generated by an infinite family of nonexpansive mappings {Ti}i=1∞. Assume that the set of common fixed points of this infinite family of nonexpansive mappings is not empty. In this paper, we prove that the sequence {xn} generated by the above iterative algorithm converges strongly to a common fixed point of {Ti}i=1∞, which solves some variational inequality. Our results improve and extend the results announced by many others." @default.
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- W2023770215 date "2008-10-01" @default.
- W2023770215 modified "2023-10-06" @default.
- W2023770215 title "Approximation of common fixed points of an infinite family of nonexpansive mappings in Banach spaces" @default.
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- W2023770215 doi "https://doi.org/10.1016/j.camwa.2008.03.035" @default.
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