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arxiv: math/0404428 · v1 · submitted 2004-04-23 · 🧮 math.FA

Common fixed points of commutative semigroups of nonexpansive mappings

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keywords commonfixednonexpansivepointscommutativediscussmappingssemigroups
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In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. We finally discuss nonexpansive retractions onto the set of common fixed points. In our discussion, we may not assume the strict convexity of the Banach space.

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