تعميم دالة تنظيم Lasry – Lions باستخدام مسافة بريغمان

Authors

  • يمار حموي

Abstract

يهدف هذا البحث إلى الاستفادة من مسافة بريغمان لتعميم  دالة تنظيم Lasry –  Lions التي تلعب دوراً هاماً في علم الأمثليات, وذلك باستبدال الشكل التربيعي  بمسافة بريغمان  ( مسافة غير مترية), وتمّت دراسة بعض خواص هذه الدّالة حيثُ تمً البرهان على إنّها مستمرة, وأنّ مجموعة حلول مسألة الأمثليات تتطابق مع مجموعة الحلول الصغرى لدالة التنظيم المعمّمة.

The purpose of the research is to study Bergman distance  to generalize Lasry –  Lions regularization which play important role of theory optimization.

To do that we replace the quardatic additive terms  in Lasry –  Lions regularization by more general Bergman distance (non metric distance), and study properties generalized approximation and proof its continuous as we give  a  relationship   between  the  solution  minimization  sets  of  function  and Lions – Lasry  Regularization and others properties.

Downloads

Published

2014-08-27

How to Cite

1.
حموي ي. تعميم دالة تنظيم Lasry – Lions باستخدام مسافة بريغمان. TUJ-BA [Internet]. 2014Aug.27 [cited 2024Nov.24];36(4). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/1032

Issue

Vol. 36 No. 4 (2014): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.