Inertial-type projection methods for solving convex constrained monotone nonlinear equations with applications to robotic motion control

摘要

In this paper, we introduce two derivative-free projection iterative algorithms for solving a system of nonlinear monotone operator equations.The two proposed algorithms can be viewed as twostep methods where the first step uses an inertial effect in every iteration.The global convergence of the proposed algorithms is established under some mild assumptions.We present numerical experiments to show the efficiency and advantage of the inertial projection steps of the proposed algorithms and compare it with some existing methods for solving nonlinear problems.Finally, we consider the problem of solving a motion control problem involving a two-joint planar robotic manipulator.