A three-term Polak-Ribière-Polyak derivative-free method and its application to image restoration

In this paper, a derivative-free method for solving convex constrained nonlinear equations involving a monotone operator with a Lipschitz condition imposed on the underlying operator is introduced and studied. The proposed method incorporates the projection technique of Solodov and Svaiter with the three-term Polak-Ribière-Polyak conjugate gradient method for the unconstrained optimization problem proposed by Min Li [J. Ind. Manag....