Geodesic
Picard's Iterations for Integral Equations of Mixed Hammerstein Type
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 372-377

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DOI

A new semilocal convergence result for the Picard method is presented, where the main required condition in the contraction mapping principle is relaxed.
DOI : 10.4153/CMB-2008-037-9
Mots-clés : 45G10, 47H99, 65J15, nonlinear equations in Banach spaces, successive approximations, semilocal convergence theorem, Picard's iteration, Hammerstein integral equations 
Ezquerro, J. A.; Hernández, M. A. Picard's Iterations for Integral Equations of Mixed Hammerstein Type. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 372-377. doi: 10.4153/CMB-2008-037-9
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     author = {Ezquerro, J. A. and Hern\'andez, M. A.},
     title = {Picard's {Iterations} for {Integral} {Equations} of {Mixed} {Hammerstein} {Type}},
     journal = {Canadian mathematical bulletin},
     pages = {372--377},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-037-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-037-9/}
}
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