Geodesic
Convergence domains under Zabrejko–Zinčenko conditions using recurrent functions
Ioannis K. Argyros1 ; Saïd Hilout2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Laboratoire de Mathématiques et Applications Poitiers University Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179 86962 Futuroscope Chasseneuil Cedex, France
Applicationes Mathematicae, Tome 38 (2011) no. 2, pp. 193-209 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We provide a semilocal convergence analysis for Newton-type methods using our idea of recurrent functions in a Banach space setting. We use Zabrejko–Zinčenko conditions. In particular, we show that the convergence domains given before can be extended under the same computational cost. Numerical examples are also provided to show that we can solve equations in cases not covered before.
DOI : 10.4064/am38-2-5
Mots-clés : provide semilocal convergence analysis newton type methods using idea recurrent functions banach space setting zabrejko zin enko conditions particular convergence domains given before extended under computational cost numerical examples provided solve equations cases covered before

Ioannis K. Argyros 1 ; Saïd Hilout 2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Laboratoire de Mathématiques et Applications Poitiers University Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179 86962 Futuroscope Chasseneuil Cedex, France 
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     author = {Ioannis K. Argyros and Sa{\"\i}d Hilout},
     title = {Convergence domains under
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     journal = {Applicationes Mathematicae},
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     doi = {10.4064/am38-2-5},
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 Zabrejko–Zinčenko conditions
 using recurrent functions
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Ioannis K. Argyros; Saïd Hilout. Convergence domains under
 Zabrejko–Zinčenko conditions
 using recurrent functions. Applicationes Mathematicae, Tome 38 (2011) no. 2, pp. 193-209. doi: 10.4064/am38-2-5

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