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Proceedings of the American Mathematical Society

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

 

 

Continuous dependence of fixed point sets


Author: J. T. Markin
Journal: Proc. Amer. Math. Soc. 38 (1973), 545-547
MSC: Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-1973-0313897-4
MathSciNet review: 0313897
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Abstract: The stability of the fixed point sets of a uniformly convergent sequence of set valued contractions is proved under the assumption that the maps are defined on a closed bounded subset $ B$ of Hilbert space and take values in the family of nonempty closed convex subsets of $ B$.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0313897-4
Keywords: Fixed point, set valued map
Article copyright: © Copyright 1973 American Mathematical Society