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A note on successive approximation

Published online by Cambridge University Press:  26 February 2010

D. D. Ang  and
D. E. Daykin
D. D. Ang
Affiliation:
University of Saigon, Saigon, Viet-Nam.
D. E. Daykin
Affiliation:
University of Malaya, Kuala Lumpur, Malaysia.
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Extract

A well-known theorem of Schauder asserts that a continuous self-map T of a closed convex subset K of a normed linear space X, such that the closure of T(K) is compact, has at least one fixed point. No general method is known for a computation of the fixed point(s) of T.

Information

Type
Research Article
Information
Mathematika , Volume 14 , Issue 1 , June 1967 , pp. 99 - 101
Copyright
Copyright © University College London 1967

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References

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5.Ang, D. D. and Knopoff, L., A nonlinear temperature problem for the half-disk (Research Dept., IGP, Univ. Calif., L.A., 1965).Google Scholar
6.Edelstein, M., “On fixed and periodic points under a contractive mapping”, J. London Math. Soc., 37 (1962), 74–79.CrossRefGoogle Scholar