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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Fixed point theorems in product spaces


Author: Tadeusz Kuczumow
Journal: Proc. Amer. Math. Soc. 108 (1990), 727-729
MSC: Primary 47H10; Secondary 47H09
DOI: https://doi.org/10.1090/S0002-9939-1990-0991700-7
MathSciNet review: 991700
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Abstract: If $ {K_1}$ and $ {K_2}$ are nonempty closed weakly compact subsets of Banach spaces and they have the generic fixed point property for nonexpansive mappings, then in the maximum norm $ {K_1} \times {K_2}$ has fixed point property for nonexpansive mappings.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0991700-7
Keywords: Nonexpansive mappings, nonexpansive retracts, fixed points
Article copyright: © Copyright 1990 American Mathematical Society