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Picard's Iterations for Integral Equations of Mixed Hammerstein Type

Published online by Cambridge University Press:  20 November 2018

J. A. Ezquerro  and
M. A. Hernández
J. A. Ezquerro
Affiliation:
Department of Mathematics and Computation, University of La Rioja, 26004 Logroño, Spain. e-mail: jezquer@dmc.unirioja.es, e-mail: mahernan@dmc.unirioja.es
M. A. Hernández
Affiliation:
Department of Mathematics and Computation, University of La Rioja, 26004 Logroño, Spain. e-mail: jezquer@dmc.unirioja.es, e-mail: mahernan@dmc.unirioja.es
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Abstract

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A new semilocal convergence result for the Picard method is presented, where the main required condition in the contraction mapping principle is relaxed.

Keywords

45G1047H9965J15nonlinear equations in Banach spacessuccessive approximationssemilocal convergence theoremPicard's iterationHammerstein integral equations
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 372 - 377
Copyright
Copyright © Canadian Mathematical Society 2008

References

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