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Proceedings of the American Mathematical Society

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

 

 

Subsequential limit points of successive approximations


Authors: L. F. Guseman and J. L. Solomon
Journal: Proc. Amer. Math. Soc. 34 (1972), 573-577
MSC: Primary 54H20; Secondary 34C35
DOI: https://doi.org/10.1090/S0002-9939-1972-0298640-9
MathSciNet review: 0298640
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Abstract: Results concerning the structure, cardinality, and invariance of the cluster set of the subsequential limit points of successive approximations are presented. These results along with some examples answer questions posed in a recent paper by F. T. Metcalf and T. D. Rogers.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0298640-9
Keywords: Fixed points, subsequential limit point, successive approximations, cluster set of sequence of successive approximations
Article copyright: © Copyright 1972 American Mathematical Society