An explicit construction of sunny nonexpansive retractions in Banach spaces

By Arkady Aleyner, Simeon Reich. 2005

48 citations recorded by the source corpus.

An explicit algorithmic scheme for constructing the unique sunny nonexpansive retraction onto the common fixed point set of a nonlinear semigroup of nonexpansive mappings in a Banach space is analyzed and a proof of convergence is given.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5c2184ad3cb3335cb0bdf1631a6e9e70e687b355

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In Computational Theory and Mathematics

  1. Yisheng Song
  2. Sumei Xu

In Geometry and Topology

  1. Yisheng Song
  2. Sumei Xu

In Numerical Analysis

  1. Yisheng Song
  2. Sumei Xu

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