Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University at Kano, Kano, Nigeria
Kanikar Muangchoo
Department of Mathematics and Statistics, Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), Bangkok, Thailand
Department of Mathematics, KMUTT Fixed Point Research Laboratory, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand
Abubakar Bakoji Muhammad
Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria
Lateef Olakunle Jolaoso
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa
Kazeem Olalekan Aremu
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa
In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints. The method proposed is matrix-free, and its sequence of search directions are bounded and satisfies the sufficient descent condition. The global convergence of the proposed approach is established under the assumptions that the underlying operator is monotone and Lipschitz continuous. Numerical experiment results are reported to show the efficiency of the proposed method. Furthermore, to illustrate the applicability of the proposed method, it is used in restoring blurred images.
