Some notes on Bauschke’s condition |
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Authors: | Tomonari Suzuki |
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Institution: | Department of Mathematics, Kyushu Institute of Technology, Sensuicho, Tobata, Kitakyushu 804-8550, Japan |
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Abstract: | In this paper, we discuss Bauschke’s condition which requires that the fixed point set of the composition of nonexpansive mappings is equal to the intersection of the individual fixed point sets. A sufficient condition for Bauschke’s condition is provided. We also present an example rooted in the theory of one-parameter nonexpansive semigroups. |
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Keywords: | 47H20 47H10 |
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