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 introduce an inertial Halpern-type iterative algorithm for approximating a
zero of the sum of two monotone operators in the setting of real Banach spaces that are 2 …

Population growth, urbanization, and climate change have significantly contributed to
environmental degradation, posing severe consequences for humans and other species. By …

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 matrix analysis, the scaling technique reduces the chances of an ill-conditioning of the
matrix. This article proposes a one-parameter scaling memoryless Davidon–Fletcher …

An acceleration strategy via relaxation technique is incorporated in a viscosity-type method
to approximate solutions of monotone inclusion problems that are fixed points of a …

In this paper, we introduce a derivative‐free iterative method for finding the solutions of
convex constrained nonlinear equations (CCNE) using the projection strategy. The new …