Geodesic
Newton's methods for variational inclusions under conditioned Fréchet derivative
Ioannis K. Argyros 1   ; Saïd Hilout 2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Applied Mathematics and Computation Faculty of Science and Technics of Béni-Mellal B.P. 523, Béni-Mellal 23000, Morocco
Applicationes Mathematicae, Tome 34 (2007) no. 3, pp. 349-357 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Estimates of the radius of convergence of Newton's methods for variational inclusions in Banach spaces are investigated under a weak Lipschitz condition on the first Fréchet derivative. We establish the linear convergence of Newton's and of a variant of Newton methods using the concepts of pseudo-Lipschitz set-valued map and $\omega $-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.
DOI : 10.4064/am34-3-6
Keywords: estimates radius convergence newtons methods variational inclusions banach spaces investigated under weak lipschitz condition first chet derivative establish linear convergence newtons variant newton methods using concepts pseudo lipschitz set valued map omega conditioned chet derivative center lipschitz condition introduced first author

Ioannis K. Argyros  1   ; Saïd Hilout  2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Applied Mathematics and Computation Faculty of Science and Technics of Béni-Mellal B.P. 523, Béni-Mellal 23000, Morocco 
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     title = {Newton's methods for variational inclusions
 under conditioned {Fr\'echet} derivative},
     journal = {Applicationes Mathematicae},
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     year = {2007},
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     doi = {10.4064/am34-3-6},
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 under conditioned Fréchet derivative
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 under conditioned Fréchet derivative
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Ioannis K. Argyros; Saïd Hilout. Newton's methods for variational inclusions
 under conditioned Fréchet derivative. Applicationes Mathematicae, Tome 34 (2007) no. 3, pp. 349-357. doi: 10.4064/am34-3-6

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