Concepedia

Krasnoselski-Mann Iterations in Normed Spaces

Jonathan M. Borwein, Simeon Reich, Itai Shafrir

Canadian Mathematical Bulletin · 1992 · 119 citations · 13 references

DOIFull text

Open access

Concepts

Abstract

Abstract We provide general results on the behaviour of the Krasnoselski-Mann iteration process for nonexpansive mappings in a variety of normed settings.

References

13

Mean value methods in iteration

W. Robert Mann · Proceedings of the American Mathematical Society · 1953 · 2.3K citations

, , +8

Weak convergence theorems for nonexpansive mappings in Banach spaces

Simeon Reich · Journal of Mathematical Analysis and Applications · 1979 · 780 citations

, , +11

Nonexpansive iterations in hyperbolic spaces

Simeon Reich, Itai Shafrir · Nonlinear Analysis · 1990 · 392 citations

, , +7

Fixed points and iteration of a nonexpansive mapping in a Banach space

Shiro Ishikawa · Proceedings of the American Mathematical Society · 1976 · 381 citations · Full text

, , +9

On the Mann iteration process in a Hilbert space

Troy L. Hicks, John D. Kubicek · Journal of Mathematical Analysis and Applications · 1977 · 186 citations

, , +8