Nonexpansive Retracts in Banach Spaces

By Eva Kopecká, Simeon Reich. 2007

101 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/28fc9cfc25c89b2d33f1843cf2fd5809f8361ab9

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. Simeon Reich
2. Shoham Sabach
3. Wataru Takahashi
4. Victoria Martín-Márquez
5. Hideaki Iiduka
6. Tomonari Suzuki
7. Koji Aoyama
8. Jen-Chih Yao

In Geometry and Topology

1. Simeon Reich
2. Shoham Sabach
3. Wataru Takahashi
4. Victoria Martín-Márquez
5. Tomonari Suzuki
6. Hideaki Iiduka
7. Hong-Kun Xu
8. Naseer Shahzad

In Mathematical Physics

1. Wataru Takahashi
2. Shoham Sabach
3. Tomonari Suzuki
4. Simeon Reich
5. Victoria Martín-Márquez

Citations in the corpus

• Right Bregman Nonexpansive Operators in Banach Spaces (2012, background): “See, for instance, [26, 28] and the references therein.”
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings (2006, background): “A mapping P from C into K is called sunny [6] if P ( Px + t (x − Px) ) = Px for x ∈ C with Px + t (x − Px) ∈ C and t ≥ 0.”
• Weak convergence of an iterative sequence for accretive operators in Banach spaces (2006, background): “Let C be a nonempty closed convex subset of a uniformly convex and uniformly smooth Banach space E and let T be a nonexpansive mapping of C into itself with F(T) � =∅ . Then the set F(T) is a sunny nonexpansive retract of C. Lemma 2.6 (see [20]; see also [ 6 ]).”