Subsequential limit points of successive approximations

Guseman, L. F.; Solomon, J. L.

doi:10.1090/S0002-9939-1972-0298640-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

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Subsequential limit points of successive approximations
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by L. F. Guseman and J. L. Solomon PDF

Proc. Amer. Math. Soc. 34 (1972), 573-577 Request permission

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.

References

F. T. Metcalf and T. D. Rogers, The cluster set of sequences of successive approximations, J. Math. Anal. Appl. 31 (1970), 206–212. MR 264147, DOI 10.1016/0022-247X(70)90132-0