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

Although the development of Pareto-dominance-based multiobjective optimization
algorithms has enabled the solution of nonlinear equation systems, few studies have been …

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 …

A modified Dai-Liao type conjugate gradient method for solving large-scale nonlinear
systems of monotone equations is introduced and investigated in actual research. 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 …

In this paper, a new deterministic method is proposed. This method depends on presenting
(suggesting) some modifications to existing parameters of some conjugate gradient …

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 …