An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration

• Published in: AIMS mathematics Vol. 6; no. 1; pp. 235 - 260
• Main Authors: Ibrahim, Abdulkarim Hassan, Kumam, Poom, Abubakar, Auwal Bala, Yusuf, Umar Batsari, Yimer, Seifu Endris, Aremu, Kazeem Olalekan
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: compressive sensing; conjugate gradient method; convex constrained; nonlinear equations; projection method; unconstrained optimization

Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the g...