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Abubakar Bakoji Muhammad, Christiane Tammer, Aliyu Muhammed Awwal, Rosalind Elster, Zhaoli Ma, Inertial-type projection methods for solving convex constrained monotone nonlinear equations with applications to robotic motion control

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DOI: 10.23952/jnva.5.2021.5.13

Volume 5, Issue 5, 1 October 2021, Pages 831-849

 

Abstract. 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 two-step 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 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.

 

How to Cite this Article:
Abubakar Bakoji Muhammad, Christiane Tammer, Aliyu Muhammed Awwal, Rosalind Elster, Zhaoli Ma, Inertial-type projection methods for solving convex constrained monotone nonlinear equations with applications to robotic motion control, J. Nonlinear Var. Anal. 5 (2021), 831-849.