We consider a second-order dynamical system for solving equilibrium problems in Hilbert spaces. Under mild conditions, we prove existence and uniqueness of strong global solution the proposed system. establish exponential convergence trajectories under pseudo-monotonicity Lipschitz-type conditions. then investigate discrete version system, which leads to fixed point-type algorithm with inertial...

Abstract A class of risk-neutral generalized Nash equilibrium problems is introduced in which the feasible strategy set each player subject to a common linear elliptic partial differential equation with random inputs. In addition, player’s actions are taken from bounded, closed, and convex on individual strategies bound constraint state variable. Existence equilibria first-order optimality cond...