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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Noor iterations for nonlinear Lipschitzian strongly accretive mappings

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Noor, M.-Aslam
Rafig, A.

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
Three-step (Noor) iteration processes, strongly accretive mapping, strongly pseudocontractive mapping, Mann iteration, Ishikawa iteration

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics