Regularized Newton approach to finding optimal solution for optimization problems – existence and uniqueness

Authors

  • Mohamed soueycatt
  • Bushra abbas
  • Somar Soueycatt

Abstract

 

In this paper, let  be a real Hilbert space and  be a maximal monotone operator.

We restrict the attention on finding zeros of the structured monotone operator           , where A is multi-value maximal operator and B is a single-value Lipschitz operator. By using Minty  representation and Lyapunov analysis, we reformulate the problem in order to get a dynamic system governed by Lipschitz operator. As a result, we managed to prove the existence and the  uniqueness of a strong global solution.

 

 

 

Published

2019-07-03

How to Cite

1.
soueycatt M, abbas B, Soueycatt S. Regularized Newton approach to finding optimal solution for optimization problems – existence and uniqueness. TUJ-BA [Internet]. 2019Jul.3 [cited 2024Mar.29];41(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8829