A plethora of applications from diverse disciplines reduce to solving generalized equations
involving Banach space valued operators. These equations are solved mostly iteratively …

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 consider Newton-Kantorovich type methods for solving control-constrained
optimal control problems that appear in model predictive control. Conditions for …

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 article presents a novel model order reduction method for mechanical problems in
linear elasticity with nonlinear contact conditions. Recently, we have proposed an efficient …

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 …

The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-
valued mappings defined on the complete metric spaces. Slope and coderivative …

In this paper, we consider Newton's method for solving a generalized equation. We show
that under strong regularity of the equation and on the condition that the starting point …

We study convergence of the Newton method for solving generalized equations of the form f
(x)+ F (x)∋ 0, where f is a continuous but not necessarily smooth function and F is a …

In this paper, a new version of a secant-type method for solving constrained mixed
generalized equations is addressed. The method is a combination of the secant method …