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arXiv · 1903.10924

Generic Convergence of Sequences of Successive Approximations in Banach Spaces

Christian Bargetz·Simeon Reich
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Abstract

We study the generic behavior of the method of successive approximations for set-valued mappings in Banach spaces. We consider, in particular, the case of those set-valued mappings which are defined by pairs of nonexpansive mappings and give a positive answer to a question raised by Francesco S. de Blasi.

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Christian Bargetz, Simeon Reich. 2019-03-26. Generic Convergence of Sequences of Successive Approximations in Banach Spaces. https://arxiv.org/abs/1903.10924

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