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- W2025967657 abstract "We introduce a general algorithm to approximate common fixed points for a countable family of nonexpansive mappings in a real Banach space. We prove strong convergence theorems for the sequences produced by the methods and approximate a common fixed point of a countable family of nonexpansive mappings which solves uniquely the corresponding variational inequality. Furthermore, we apply our results for finding a zero of an accretive operator. It is important to state clearly that the contribution of this paper in relation with the previous works (Marino and Xu, 2006) is a technical method to prove strong convergence theorems of a general iterative algorithm for an infinite family of nonexpansive mappings in Banach spaces. Our results improve and generalize many known results in the current literature." @default.
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- W2025967657 date "2013-01-01" @default.
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- W2025967657 title "Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces" @default.
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- W2025967657 doi "https://doi.org/10.1155/2013/539061" @default.
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