Ekeland variational principle on weighted graphs

Monther Rashed Alfuraidan, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi's fixed point theorem are equivalent. In addition, we applied our main result on a differential structure Banach space.

Original languageBritish English
Pages (from-to)5313-5321
Number of pages9
JournalProceedings of the American Mathematical Society
Volume147
Issue number12
DOIs
StatePublished - 2019

Keywords

  • Brønsted partial order
  • Caristi
  • Ekeland variational principle
  • Fixed point
  • Weighted graph

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