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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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.

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: The Pure and Applied Mathematics