A new method for split common fixed-point problem without priori knowledge of operator norms |
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Authors: | Fenghui Wang |
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Institution: | 1.Department of Mathematics,Luoyang Normal University,Luoyang,China |
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Abstract: | The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a linear transformation belongs to another fixed-point set. In this paper, we propose a new algorithm for the split common fixed-point problem that does not need any priori information of the operator norm. Under standard assumptions, we establish a weak convergence theorem of the proposed algorithm. |
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