An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators

N. S. Hoang

An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators

Numerical Analysis 2010-02-23 v1

Authors: N. S. Hoang

Abstract

An iterative scheme for solving ill-posed nonlinear equations with locally $\sigma$ -inverse monotone operators is studied in this paper. A stopping rule of discrepancy type is proposed. The existence of $u_{n_\delta}$ satisfying the proposed stopping rule is proved. The convergence of this element to the minimal-norm solution is justified mathematically.

Keywords

nonlocal equations partial differential equations differential equations

Cite

@article{arxiv.1002.4165,
  title  = {An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators},
  author = {N. S. Hoang},
  journal= {arXiv preprint arXiv:1002.4165},
  year   = {2010}
}

Comments

23 pages, 2 figures

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