On successive approximations for nonexpansive mappings in Banach spaces
- 1 April 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 12 (1) , 6-9
- https://doi.org/10.1017/s0017089500001063
Abstract
Let X be a Banach space and K a convex subset of X. A mapping Tof K into K is called a nonexpansive mapping if | T(x) – T(y) | ≦ | x – y | for all x, yεK.Keywords
This publication has 6 references indexed in Scilit:
- Semicontractive and semiaccretive nonlinear mappings in Banach spacesBulletin of the American Mathematical Society, 1968
- A Remark on a Theorem of M. A. KrasnoselskiThe American Mathematical Monthly, 1966
- The solution by iteration of nonlinear functional equations in Banach spacesBulletin of the American Mathematical Society, 1966
- A Fixed Point Theorem for Mappings which do not Increase DistancesThe American Mathematical Monthly, 1965
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACEProceedings of the National Academy of Sciences, 1965
- Zum Prinzip der kontraktiven AbbildungMathematische Nachrichten, 1965