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Browder's Convergence for One-Parameter Nonexpansive Semigroups

Published online by Cambridge University Press:  20 November 2018

Shigeki Akiyama  and
Tomonari Suzuki
Shigeki Akiyama
Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan e-mail: akiyama@math.sc.niigata-u.ac.jp
Tomonari Suzuki
Affiliation:
Department of Basic Sciences, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan e-mail: suzuki-t@mns.kyutech.ac.jp
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Abstract

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We give the sufficient and necessary conditions of Browder's convergence theorem for one-parameter nonexpansive semigroups which was proved by Suzuki. We also discuss the perfect kernels of topological spaces.

Keywords

47H20nonexpansive semigroupcommon fixed pointBrowder's convergenceperfect kernel
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 15 - 25
Copyright
Copyright © Canadian Mathematical Society 2012

References

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