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

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)

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

한국수학교육학회지시리즈B:순수및응용수학