A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration

IEEE Access

Auwal Bala Abubakar¹  Kazeem Olalekan Aremu²  Kanikar Muangchoo³  Lateef Olakunle Jolaoso⁴  Abdulkarim Hassan Ibrahim⁵  Abubakar Bakoji Muhammad⁶ 

[1] Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University at Kano, Kano, Nigeria;Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa;Department of Mathematics and Statistics, Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), Bangkok, Thailand;Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria;Department of Mathematics, KMUTT Fixed Point Research Laboratory, Faculty of Science, King Mongkut&x2019;s University of Technology Thonburi (KMUTT), Bangkok, Thailand;

关键词: Derivative-free algorithm;    Monotone operator equations;    projection technique;    image restoration;   

DOI  :  10.1109/ACCESS.2021.3053141

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown