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Browder's Convergence for One-Parameter Nonexpansive Semigroups

  Published:2011-04-15
 Printed: Mar 2012
  • Shigeki Akiyama,
    Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan
  • Tomonari Suzuki,
    Department of Basic Sciences, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japa
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Abstract

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: nonexpansive semigroup, common fixed point, Browder's convergence, perfect kernel nonexpansive semigroup, common fixed point, Browder's convergence, perfect kernel
MSC Classifications: 47H20 show english descriptions Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07] 47H20 - Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]
 

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