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.

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Published

2014-08-27

How to Cite

1.
حموي ي. تعميم دالة تنظيم Lasry – Lions باستخدام مسافة بريغمان. TUJ-BA [Internet]. 2014Aug.27 [cited 2024Apr.30];36(4). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/1032

Issue

Vol. 36 No. 4 (2014): العلوم الأساسية

Section

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