The Strong Convergence of Proximal Alternating Direction Method of Multipliers in Real Hilbert Spaces

Authors

  • Mohamed Soueycatt Tishreen University
  • Boushra Abbas Tishreen University
  • Layal Ali Tishreen University

Abstract

The aim of this paper is to demonstrate that strong convergence corresponds well to the approximate alternating directions method (PADMM) in real infinite dimensional Hilbert spaces for convex optimization problems. Assuming that the solutions set for these problems are not empty, we demonstrate that the sequence generated by the PADMM is strongly convergent towards the optimal solution of the problem constrained convex optimization problems.

Author Biographies

Mohamed Soueycatt, Tishreen University

Professor, Department of mathematics, Faculty of Sciences

Boushra Abbas, Tishreen University

Assistant Professor, Department of mathematics, Faculty of Sciences

Layal Ali, Tishreen University

PhD student, Department of mathematics, Faculty of Sciences

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Published

2021-07-07

How to Cite

1.
سويقات م, عباس ب, علي ل. The Strong Convergence of Proximal Alternating Direction Method of Multipliers in Real Hilbert Spaces. TUJ-BA [Internet]. 2021Jul.7 [cited 2024Nov.24];43(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10678

Issue

Vol. 43 No. 3 (2021): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Articles

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