carpathian_2024_40_1_47_64In this paper, by using symmetric first-order divided differences, we introduce a new family of Secant-like iterative methods with quadratic convergence. Afterthought, we analyze its semilocal and local behavior when the nonlinear operator 
is not differentiable by imposing appropriate bounding conditions in each case. Theoretical results have also been tested by solving a problem which shows the applicability of our work.
| Author(s) | Hernández-Verón, M. A., Hueso, José. L., Martínez, Eulalia |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2024.01.05 |
Weak and Strong Convergence of Split Douglas-Rachford Algorithms for Monotone Inclusions
Fixed point theorems for basic θ-contraction and applications
A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications
Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems
A fast contraction algorithm using two inertial extrapolations for variational inclusion problem and data classification
Periodic cycles for an extension of generalized 3x + 1 functions
Some remarks on expansive mappings in metric spaces
Asymptotically α hemicontractive mappings in Hilbert spaces and a new algorithm for solving associated split common fixed point problem
Extreme solution for fractional differential equation with nonlinear boundary condition
Generalized Split Feasibility Problem: Solution by Iteration
