Parallel Hybrid Methods for a Finite Family of Relatively Nonexpansive Mappings |
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Authors: | Pham Ky Anh Cao Van Chung |
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Institution: | 1. Department of Mathematics , Vietnam National University , Hanoi , Vietnam anhpk@vnu.edu.vn;3. Department of Mathematics , Vietnam National University , Hanoi , Vietnam |
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Abstract: | In this article, we propose two parallel hybrid methods for finding a common fixed point of a finite family of relatively nonexpansive mappings. The strong convergence of the methods is established and their effectiveness are examined by numerical experiments. Thanks to the parallel computation, we can reduce the overall computational effort under widely used assumptions on mappings and spaces. |
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Keywords: | Common fixed point Hybrid method Parallel computation Relatively nonexpansive mapping |
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