On the convergence of extended Newton-type method for solving variational inclusions
نویسنده
چکیده
Abstract: In this paper, we introduce and study the extended Newton-type method for solving the variational inclusion 0∈ f (x)+g(x)+F(x), where f :Ω⊆X→Y is Fréchet differentiable in a neighborhood Ω of a point x̄ in X, g:Ω⊆X→Y is linear and differentiable at point x̄, and F is a set-valued mapping with closed graph acting in Banach spaces X and Y. Semilocal and local convergence of the extended Newton-type method are analyzed.
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