Name
Title | ||
|---|---|---|
Rates of convergence for iterative solutions of equations involving set-valued accretive operators |
Abstract | ||
|---|---|---|
This paper studies proofs of strong convergence of various iterative algorithms for computing the unique zeros of set-valued accretive operators that also satisfy some weak form of uniform accretivity at zero. More precisely, we extract explicit rates of convergence from these proofs which depend on a modulus of uniform accretivity at zero, a concept first introduced by A. Koutsoukou-Argyraki and the first author in 2015. Our highly modular approach, which is inspired by the logic-based proof mining paradigm, also establishes that a number of seemingly unrelated convergence proofs in the literature are actually instances of a common pattern. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.camwa.2020.04.002 | Computers & Mathematics with Applications |
Keywords | DocType | Volume |
Accretive operators,Uniform accretivity,Uniformly smooth Banach spaces,Ishikawa iterations,Rates of convergence,Proof mining | Journal | 80 |
Issue | ISSN | Citations |
3 | 0898-1221 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kohlenbach Ulrich | 1 | 0 | 0.34 |
| Powell Thomas | 2 | 0 | 0.34 |