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Picard's Iterations for Integral Equations of Mixed Hammerstein Type

Published:2008-09-01
Printed: Sep 2008
• J. A. Ezquerro
• M. A. Hernández
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Abstract

A new semilocal convergence result for the Picard method is presented, where the main required condition in the contraction mapping principle is relaxed.
 Keywords: nonlinear equations in Banach spaces, successive approximations, semilocal convergence theorem, Picard's iteration, Hammerstein integral equations
 MSC Classifications: 45G10 - Other nonlinear integral equations 47H99 - None of the above, but in this section 65J15 - Equations with nonlinear operators (do not use 65Hxx)