The paper presents a fully adaptive algorithm for monotone variational inequalities. In each
iteration the method uses two previous iterates for an approximation of the local Lipschitz …

Tseng's forward–backward–forward algorithm is a valuable alternative for Korpelevich's
extragradient method when solving variational inequalities over a convex and closed set …

In this work, we propose a new algorithm for finding a zero of the sum of two monotone
operators where one is assumed to be single-valued and Lipschitz continuous. This …

In this work we investigate dynamical systems designed to approach the solution sets of
inclusion problems involving the sum of two maximally monotone operators. Our aim is to …

We study monotone variational inequalities that can arise as optimality conditions for
constrained convex optimization or convex-concave minimax problems and propose a novel …

In this paper we propose a primal-dual dynamical approach to the minimization of a
structured convex function consisting of a smooth term, a nonsmooth term, and the …

The aim of this survey is to present the main important techniques and tools from variational
analysis used for first and second order dynamical systems of implicit type for solving …

In this paper a second order dynamical system model is proposed for computing a zero of a
maximally comonotone operator in a Hilbert space. Under mild conditions, we prove …

We investigate the existence and uniqueness of (locally) absolutely continuous trajectories
of a penalty term-based dynamical system associated to a constrained variational inequality …

In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐
backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert …