An optimization algorithm for nonsmooth nonconvex constrained optimization problems with
upper-objective functions is proposed and analyzed. Upper-is a weakly concave property …

We propose a bundle trust-region algorithm to minimize locally Lipschitz functions which are
potentially nonsmooth and nonconvex. We prove global convergence of our method and …

The paper deals with the convergence analysis of the semidiscrete Rothe scheme for the
parabolic variational–hemivariational inequality with the nonlinear pseudomonotone elliptic …

Proximal bundle method has usually been presented for unconstrained convex optimization
problems. In this paper, we develop an infeasible proximal bundle method for nonsmooth …

We propose a new algorithm for minimizing locally Lipschitz functions that combines both
the bundle and trust region techniques. Based on the bundle methods the objective function …

We propose an optimization technique for computing stationary points of a broad class of
nonsmooth and nonconvex programming problems. The proposed approach …

We study noncoercive nonlinear variational–hemivariational inequalities that encompass
semicoercive nonlinear monotone variational inequalities and pseudomonotone variational …

This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the
formulation by Ky Fan. We provide a novel variant of this principle and build an existence …

A proximal bundle algorithm is proposed for solving unconstrained nonsmooth nonconvex
optimization problems. At each iteration, using already generated information, the algorithm …

We use a non-smooth trust-region method for H∞-control of infinite-dimensional systems.
Our method applies in particular to distributed and boundary control of partial differential …