Convergence of Krasnoselskii-Mann iterations of nonexpansive operators

✍ Scribed by S. Reich; A.J. Zaslavski

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 545 KB
• Volume: 32
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(00)00214-4

✦ Synopsis

In this paper, we show that a generic nonexpansive operator on a closed and convex, but not necessarily bounded, subset of a hyperbolic space has a unique fixed point which attracts the Krasnoselskii-Mann iterations of this operator.