Approximation of common fixed points of a countable family of continuous pseudocontractions in a uniformly smooth Banach space |
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Authors: | Gang Cai Shangquan Bu |
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Institution: | Department of Mathematical Science, Tsinghua University, 100084 Beijing, China |
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Abstract: | In this paper, we introduce a new implicit iterative algorithm for finding a common element of a countable family of continuous pseudocontractions in a uniformly smooth Banach space. We obtain some strong convergence theorems under suitable conditions. Our results extend the recent results announced by many others. |
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