Stability of Dynamical Systems Generated by Regularized Newton Method In Hilbert Spaces

Authors

  • Mohamed Soueycatt Tishreen University
  • Boushra Abbas Tishreen University
  • Ruba Ismail Tishreen University

Abstract

Let  a real Hilbert space,  ,  are maximal monotones operators and  is locally Lipschitz continuous.

The question is to find the zeroes of structured monotone operator  .

In this article we  study the stability of Dynamical system in special situation when and  when  is convex, proper and lower-semi continuous,  is convex and differential.

Author Biographies

Mohamed Soueycatt, Tishreen University

Professor, Department of mathematics, Faculty of Science,

Boushra Abbas, Tishreen University

Assistant Professor, Department of Mathematics, Faculty of Sciences

Ruba Ismail, Tishreen University

Master, Department of mathematics, Faculty of Sciences,

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Published

2021-05-20

How to Cite

1.
سويقات م, عباس ب, اسماعيل ر. Stability of Dynamical Systems Generated by Regularized Newton Method In Hilbert Spaces. TUJ-BA [Internet]. 2021May20 [cited 2024Apr.30];43(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10587

Issue

Vol. 43 No. 2 (2021): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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