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 …

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

By exploiting the idea employed in the spectral Dai-Yuan method by Xue et al.[IEICE Trans.
Inf. Syst. 101 (12) 2984-2990 (2018)] and the approach applied in the modified Hager …

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 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 paper, we initially enhance the Fletcher–Reeves (FR) conjugate parameter through a
shrinkage multiplier, leading to a derivative-free two-term search direction and its extended …