In this paper, we propose a new modification of a three-term derivative-free projection
algorithm for solving a system of monotone nonlinear equations. The global convergence …

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 method for solving convex constrained nonlinear equations
involving a monotone operator with a Lipschitz condition imposed on the underlying …

Numerous attempts have been made to develop efficient methods for solving the system of
constrained nonlinear equations due to its widespread use in diverse engineering …

In this article, inspired by the projection technique of Solodov and Svaiter, we exploit the
simple structure, low memory requirement, and good convergence properties of the mixed …

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 …

In this paper, we propose a method for efficiently obtaining an approximate solution for
constrained nonlinear monotone operator equations. The search direction of the proposed …

In this paper, we propose a general framework that provides a unified convergence analysis
of the derivative-free projection-based method (DFPM) for solving large-scale constrained …