IMPROVED CONVERGENCE OF STEFFENSEN'S METHOD FOR APPROXIMATING FIXED POINTS OF OPERATORS IN BANACH SPACE

DOI10.4134/JKMS.J150580zbMath1394.47067OpenAlexW2608356712MaRDI QIDQ2970132

Hongmin Ren, Ioannis K. Argyros

Publication date: 27 March 2017

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=468163

zbMATH Keywords

fixed pointBanach spaceFréchet-differentiable operatorSteffensen's methoddivided differencelocal-semilocal convergencemajoring technique

Mathematics Subject Classification ID

Newton-type methods (49M15) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Error analysis and interval analysis (65G99)

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