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On successive approximations for nonexpansive mappings in Banach spaces†

Published online by Cambridge University Press:  18 May 2009

W. A. Kirk
W. A. Kirk
Affiliation:
University of Iowa, Iowa City, Iowa 52240, U.S.A.
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Let X be a Banach space and K a convex subset of X. A mapping Tof K into K is called a nonexpansive mapping if | T(x) – T(y) | ≦ | x – y | for all x, yεK.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 6 - 9
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

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