On relationship between convergence ball of Euler iteration in Banach spaces and its dynamical behavior on Riemann spheres

zbMath1217.37045MaRDI QIDQ551792

Xinghua Wang, Heyu Wang, Chong Li

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

convergence ballcomplex analytic dynamical systemEuler iterationexclusive fixed pointsolution of operator equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Spaces of bounded analytic functions of one complex variable (30H05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems in numerical analysis (37N30)

Related Items (2)

Convergence behavior for Newton-Steffensen's method under \(\gamma\)-condition of second derivative ⋮ On the local convergence of a family of Euler-halley type iterations with a parameter

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