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, 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 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 …

Abstract Let Rn be an Euclidean space and g: R^ n→ R^ n be a monotone and continuous
mapping. Suppose the convex constrained nonlinear monotone equation problem x∈ C st g …

Many real-world phenomena in engineering, economics, statistical inference, compressed
sensing and machine learning involve finding sparse solutions to under-determined or ill …

The convex constraint nonlinear equation problem is to find a point q with the property that q
2 D where D is a nonempty closed convex subset of Euclidean space Rn. The convex …

Finding sparse solutions to under-determined or ill-conditioned equations is a problem that
usually arise in compressive sensing. In this article, a derivative-free iterative method is …