The common minimal-norm fixed point of a finite family of nonexpansive mappings |
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Authors: | Xia Liu Yanlan Cui |
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Affiliation: | Department of Mathematics and Computer Science, Yanan University, Yanan, Shaaxi 716000, China |
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Abstract: | Consider a finite family of nonexpansive mappings which are defined on a closed convex subset of a Hilbert space H. Suppose the set of common fixed points of this family is nonempty. We then address the problem of finding the minimum-norm element of this common fixed point set. We introduce both cyclic and parallel iteration methods to find this minimal-norm element. |
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Keywords: | 47H09 47H10 |
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