Journal of applied mathematics & informatics
- Volume 20 Issue 1_2
- /
- Pages.369-389
- /
- 2006
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
ITERATIVE ALGORITHMS WITH ERRORS FOR ZEROS OF ACCRETIVE OPERATORS IN BANACH SPACES
Abstract
The iterative algorithms with errors for solutions to accretive operator inclusions are investigated in Banach spaces, including a modification of Rockafellar's proximal point algorithm. Some applications are given in Hilbert spaces. Our results improve the corresponding results in [1, 15-17, 29, 35].
Keywords
- Iterative algorithms with errors;
- resolvent;
- proximal point algorithm;
- m-accretive operator;
- maximal monotone operator;
- sunny and nonexpansive retraction