English

Strong convergence of modified inertial Mann algorithms for nonexpansive mappings

Optimization and Control 2020-04-10 v1 Functional Analysis

Abstract

In this paper, we introduce two new modified inertial Mann Halpern and viscosity algorithms for solving fixed point problems. We establish strong convergence theorems under some suitable conditions. Finally, our algorithms are applied to split feasibility problem, convex feasibility problem and location theory. The algorithms and results presented in this paper can summarize and improve corresponding results previously known in this area.

Keywords

Cite

@article{arxiv.2001.07346,
  title  = {Strong convergence of modified inertial Mann algorithms for nonexpansive mappings},
  author = {Bing Tan and Zheng Zhou and Songxiao Li},
  journal= {arXiv preprint arXiv:2001.07346},
  year   = {2020}
}

Comments

11 pages, 4 Figures

R2 v1 2026-06-23T13:16:06.770Z