التكافؤ بين المتتاليات Mann Ishikawa, Noor, للتطبيقات ضعيفة التقليص

Authors

  • عدنان متيلج

Abstract

سنبرهن في هذه المقالة على التكافؤ بين تقارب المتتاليات  (  Mann ، Ishikawa ، Noor ) من أجل صنف من التطبيقات ضعيفة التقليص contractive) (Weak والمعرفة على مجموعات جزئية و مغلقة و محدبة  لفضاء كيفي. كما نبرهن أن التكافؤ يمدد إلى التطبيقات اللاتمددية المعممة

( (Generalized non expansive  ضمن  الشروط  :

على وسطاء التطبيق .

أخيراً نقترح صيغة جديدة للتطبيق اللاتمددي المعمم على نحو تكون فيه هذه المتتاليات متكافئة أيضاً .

In this paper, we prove that the sequences (Mann, Ishikawa , Noor) are equivalent for the class of weak contractive mappings defined on closed, convex subsets of arbitrar  Banach spaces ,and we prove that the equivalence extends to the generalized non expansive mappings with the conditions  :

 

Finally, we define new formula for generalized non expansive mappings such as that these sequences are equivalent.

Downloads

Published

2018-12-09

How to Cite

1.
متيلج ع. التكافؤ بين المتتاليات Mann Ishikawa, Noor, للتطبيقات ضعيفة التقليص. TUJ-BA [Internet]. 2018Dec.9 [cited 2024Nov.24];34(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5243

Issue

Vol. 34 No. 2 (2012): 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.