Ekeland variational principle in the variable exponent sequence spaces lp(·)

Monther R. Alfuraidan, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces lp(·). The core obstacle in the development of a modular version of the EVP is the failure of the triangle inequality for the module. It is the lack of this inequality, which is indispensable in the establishment of the classical EVP, that has hitherto prevented a successful treatment of the modular case. As an application, we establish a modular version of Caristi's fixed point theorem in lp(·).

Original languageBritish English
Article number375
JournalMathematics
Volume8
Issue number3
DOIs
StatePublished - 1 Mar 2020

Keywords

  • Caristi
  • Ekeland variational principle
  • Electrorheological fluids
  • Fixed point
  • Modular vector spaces
  • Nakano
  • Variable exponent sequence spaces

Fingerprint

Dive into the research topics of 'Ekeland variational principle in the variable exponent sequence spaces lp(·)'. Together they form a unique fingerprint.

Cite this