科研之友
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摘要
We consider several classes of nonexpansive set-valued self-mappings of a bounded, closed and star-shaped set in a Banach space. Using the Baire category approach and the porosity notion, we show that in these classes most mappings are contractive. This is true, in particular, for a certain class of compact valued mappings. It follows that a generic mapping in this class has a fixed point.
- 出版日期2017
