Characterizations of fixed points of nonexpansive mappings

Tomonari Suzuki

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

Using the notion of Banach limits, we discuss the characterization of fixed points of nonexpansive mappings in Banach spaces. Indeed, we prove that the two sets of fixed points of a nonexpansive mapping and some mapping generated by a Banach limit coincide. In our discussion, we may not assume the strict convexity of the Banach space.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:430567

DOI: 10.1155/IJMMS.2005.1723

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