A semi-local analysis of Newton's method for solving nonlinear inclusion problems in
Banach space is presented in this paper. Under an affine majorant condition on the …

As second-order methods, Gauss--Newton-type methods can be more effective than first-
order methods for the solution of nonsmooth optimization problems with expensive-to …

We consider the extended Newton method for approaching a Pareto optimum of a
multiobjective optimization problem, establish quadratic convergence criteria, and estimate …

In this paper we consider a version of the Kantorovich's theorem for solving the generalized
equation F (x)+ T (x)∋ 0, where F is a Fréchet derivative function and T is a set-valued and …

In this paper, we consider convex composite optimization problems on Riemannian
manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi …

We propose an inexact linearized proximal algorithm with an adaptive stepsize, together
with its globalized version based on the backtracking line-search, to solve a convex …

In this paper, we consider the problem of solving constrained systems of nonlinear
equations. We propose an algorithm based on a combination of Newton and conditional …

In this paper, we consider Newton's method for solving a generalized equation of the form f
(x)+ F (x)∋ 0, where f: Ω→ Y is continuously differentiable, X and Y are Banach spaces, Ω⊂ …

In this paper, we study the convergence properties of a Newton-type method for solving
generalized equations under a majorant condition. To this end, we use a contraction …

The problem of finding a solution of non-linear inclusion problems in Banach space is
considered in this paper. Using convex optimization techniques introduced by Robinson …