LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS
نویسندگان
چکیده
منابع مشابه
Local convergence of some iterative methods for generalized equations
We study generalized equations of the following form: 0 ∈ f(x) + g(x) + F (x) (∗); where f is Fréchet differentiable in a neighborhood of a solution x∗ of (*) and g is Fréchet differentiable at x∗ and where F is a set-valued map acting in Banach spaces. We prove the existence of a sequence (xk) satisfying 0 ∈ f(xk) + g(xk) + ( ∇f(xk) + [xk−1, xk; g] ) (xk+1− xk) + F (xk+1) which is super-linear...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2016
ISSN: 0304-9914
DOI: 10.4134/jkms.j150244