In optimization theory, to speed up the convergence of iterative procedures, many
mathematicians often use the inertial extrapolation method. In this article, based on the three …

In this paper, using the concept of inertial extrapolation, we introduce a globally convergent
inertial extrapolation method for solving nonlinear equations with convex constraints for …

In this paper, a derivative-free Hestenes–Stielfel type method is proposed to solve large-
scale nonlinear equations with convex constraints. The proposed method adopts the line …

In this paper, we propose an inertial derivative-free projection method for solving convex
constrained nonlinear monotone operator equations (CNME). The method incorporates the …

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 …

This paper discusses a new derivative-free line search method for nonlinear monotone
equations. It uses a derivative-free direction based on Dai–Liao method, along which an …

In this article, a hybrid approach technique incorporated with three-term conjugate gradient
(CG) method is proposed to solve constrained nonlinear monotone operator equations. The …

We present an iterative method for solving the convex constraint nonlinear equation
problem. The method incorporates the projection strategy by Solodov and Svaiter with the …

In recent times, various algorithms have been incorporated with the inertial extrapolation
step to speed up the convergence of the sequence generated by these algorithms. As far as …

In this paper, a hybrid derivative-free conjugate gradient method that inherits the structures
of two conjugate gradient methods is introduced to recover sparse signal in compressive …