Noor iterations for nonlinear Lipschitzian strongly accretive mappings
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.4, pp.337-348
Jeong, Jae-Ug
Noor, M.-Aslam
Rafig, A.
Jeong,,
J.
, Noor,,
M.
, &
Rafig,,
A.
(2004). Noor iterations for nonlinear Lipschitzian strongly accretive mappings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(4), 337-348.
Abstract
In this paper, we suggest and analyze Noor (three-step) iterative scheme for solving nonlinear strongly accretive operator equation Tχ = f. The results obtained in this paper represent an extension as well as refinement of previous known results.
- keywords
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Three-step (Noor) iteration processes,
strongly accretive mapping,
strongly pseudocontractive mapping,
Mann iteration,
Ishikawa iteration