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Uniformly Lipschitzian Semigroups in Hilbert Space

Published online by Cambridge University Press:  20 November 2018

David J. Downing  and
William O. Ray
David J. Downing
Affiliation:
Department of Mathematical Sciences Oakland University, Rochester, Michigan48063
William O. Ray
Affiliation:
Department of Mathematics the University of Oklahoma, Norman, Oklahoma73019
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Abstract

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Let K be a closed, bounded, convex, nonempty subset of a Hilbert Space . It is shown that if is a left reversible, uniformly k-lipschitzian semigroup of mappings of K into itself, with k < √2, then has a common fixed point in K.

Keywords

47H10common fixed pointsuniformly k-lipschitzian semigroups
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 210 - 214
Copyright
Copyright © Canadian Mathematical Society 1982

References

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