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 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, we present a new hybrid spectral-conjugate gradient (SCG) algorithm for
finding approximate solutions to nonlinear monotone operator equations. The hybrid …

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 …

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 …

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

A derivative-free conjugate gradient algorithm for solving nonlinear equations and image
restoration is proposed. The conjugate gradient (CG) parameter of the proposed algorithm is …

Many studies have been devoted to develop and improve the iterative methods for solving
convex constraint nonlinear equations problem (CCP). Based on the projection technique …

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 …

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 …