Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

By H. Jianfeng, Wang Yuan-heng. 2007

161 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/4ae58781a06d9f4ed8d22920d3a093946e508043

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Laurentiu Leustean
2. Ulrich Kohlenbach
3. Yisheng Song
4. Sumei Xu
5. Genaro López-Acedo
6. David Ariza-Ruiz
7. Paulo Oliva
8. Philipp Gerhardy

In Geometry and Topology

1. Laurentiu Leustean
2. Ulrich Kohlenbach
3. Yisheng Song
4. Sumei Xu
5. Genaro López-Acedo
6. David Ariza-Ruiz
7. Paulo Oliva
8. Jeremy Avigad

In Mathematical Physics

1. Laurentiu Leustean
2. Ulrich Kohlenbach

Citations in the corpus

• Effective metastability of Halpern iterates in CAT(0) spaces (2011, methodology): “In fact, one only needs the implication ‘(i) ⇒ (ii)’ which is established in [44] using the following sublinear functional”
• Strong convergence theorems for nonexpansive semigroup in Banach spaces (2008, background): “Under certain restrictions to the sequence {αn}, Shioji and Takahashi [11] prove the strong convergence of {xn} to a member of F .”