English

Inertial Modified S-Iteration Process for Split Monotone Inclusion and Fixed Point Problem In Real Hilbert Space

Numerical Analysis 2021-10-11 v1 Numerical Analysis Functional Analysis

Abstract

In this article we present a modified S-iteration process that we combine with inertial extrapolation to find a common solution to the split monotone inclusion problem and the fixed point problem in real Hilbert space.Our goal is to establish a strong convergence theorem for approximating a common solution.Under some mild conditions,the problem can be solved. We also provide a numerical example to show that our algorithms acceleration works well.

Keywords

Cite

@article{arxiv.2110.03910,
  title  = {Inertial Modified S-Iteration Process for Split Monotone Inclusion and Fixed Point Problem In Real Hilbert Space},
  author = {Shamshad Husain and Uqba Rafat},
  journal= {arXiv preprint arXiv:2110.03910},
  year   = {2021}
}

Comments

13 pages,1 figure ,1 table

R2 v1 2026-06-24T06:43:41.250Z