This paper proposes and justifies two globally convergent Newton-type methods to solve
unconstrained and constrained problems of nonsmooth optimization by using tools of …

This paper proposes and develops a new Newton-type algorithm to solve subdifferential
inclusions defined by subgradients of extended real-valued prox-regular functions. The …

The paper is devoted to the study of the twice epi-differentiablity of extended-real-valued
functions, with an emphasis on functions satisfying a certain composite representation. This …

This paper aims at developing two versions of the generalized Newton method to compute
local minimizers for nonsmooth problems of unconstrained and constrained optimization that …

A broad class of optimization problems can be cast in composite form, that is, considering
the minimization of the composition of a lower semicontinuous function with a differentiable …

The paper proposes and develops new globally convergent algorithms of the generalized
damped Newton type for solving important classes of nonsmooth optimization problems …

Zero-sum stochastic Stackelberg games can be used to model a large class of problems,
ranging from economics to human robot interaction. In this paper, we develop policy …

We demonstrate that the concept of strict proto-differentiability of subgradient mappings can
play a similar role as smoothness of the gradient mapping of a function in the study of …

This paper addresses problems of second-order cone programming important in
optimization theory and applications. The main attention is paid to the augmented …

The paper is devoted to deriving novel second-order necessary and sufficient optimality
conditions for local minimizers in rather general classes of nonsmooth unconstrained and …