Proof mining in metric fixed point theory and ergodic theory

Abstract

In this survey we present some recent applications of proof mining to the fixed point theory of (asymptotically) nonexpansive mappings and to the metastability (in the sense of Terence Tao) of ergodic averages in uniformly convex Banach spaces.

appeared as OWP 2009-05, Oberwolfach Preprints; 71 pages

References in corpus (3)

• Local stability of ergodic averages
• Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces
• A quantitative version of the Besicovitch projection theorem via multiscale analysis

Cited by in corpus (1)

• Effective results on nonlinear ergodic averages in CAT$(\kappa )$ spaces