Taiwanese Journal of Mathematics


Weiping Shen and Chong Li

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Convergence criterion of the inexact methods is established for operators with h¨older continuous first derivatives. An application to a special nonlinear Hammerstein integral equation of the second kind is provided.

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Taiwanese J. Math., Volume 12, Number 7 (2008), 1865-1882.

First available in Project Euclid: 18 July 2017

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Mathematical Reviews number (MathSciNet)

Primary: 65J15: Equations with nonlinear operators (do not use 65Hxx) 65H10: Systems of equations 47H30: Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05]

nonlinear equation inexact methods Hölder condition Hammerstein integral equation of the second kind


Shen, Weiping; Li, Chong. CONVERGENCE CRITERION OF INEXACT METHODS FOR OPERATORS WITH H¨OLDER CONTINUOUS DERIVATIVES. Taiwanese J. Math. 12 (2008), no. 7, 1865--1882. doi:10.11650/twjm/1500405093. https://projecteuclid.org/euclid.twjm/1500405093

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