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Newton's methods for variational inclusions under conditioned Fréchet derivative

Tom 34 / 2007

Applicationes Mathematicae 34 (2007), 349-357 MSC: 47H04, 65K10, 49J53. DOI: 10.4064/am34-3-6

Streszczenie

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.

Autorzy

• Ioannis K. ArgyrosDepartment of Mathematical Sciences
Cameron University
Lawton, OK 73505, U.S.A.
e-mail
• Saïd HiloutDepartment of Applied Mathematics
and Computation
Faculty of Science and Technics of Béni-Mellal
B.P. 523, Béni-Mellal 23000, Morocco
e-mail

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