NOOR ITERATIONS FOR NONLINEAR LIPSCHITZIAN STRONGLY ACCRETIVE MAPPINGS
Noor iterations for nonlinear Lipschitzian strongly accretive mappings
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.4, pp.337-348
Jeong, Jae-Ug
(Department of Mathematics, Dongeui University)
Noor, M.-Aslam
Rafig, A.
(Centre of Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University)
Jeong, Jae-Ug,
Noor, M.-Aslam,
&
Rafig, A..
(2004). NOOR ITERATIONS FOR NONLINEAR LIPSCHITZIAN STRONGLY ACCRETIVE MAPPINGS, 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