Halpern's Iteration in CAT(0) Spaces

By Satit Saejung. 2009

128 citations recorded by the source corpus.

Motivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT(0) spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergence theorem for nonself mappings is also discussed.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0f0dc912e40618157995cb887f67e1e53c130bc0

How researchers see this paper

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In Computational Theory and Mathematics

1. Ulrich Kohlenbach
2. Laurentiu Leustean
3. Paulo Oliva
4. Genaro López-Acedo
5. David Ariza-Ruiz
6. Philipp Gerhardy
7. Jeremy Avigad

In Geometry and Topology

1. Ulrich Kohlenbach
2. Laurentiu Leustean
3. Paulo Oliva
4. Genaro López-Acedo
5. David Ariza-Ruiz
6. Jeremy Avigad
7. Philipp Gerhardy
8. Henry Towsner

In Mathematical Physics

1. Ulrich Kohlenbach
2. Laurentiu Leustean

Citations in the corpus

• PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS (2019, methodology): “Wittmann’s result has been generalized to CAT(0)-spaces by Saejung [63] using Banach limits.”