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

Monther R. Alfuraidan, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review


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
Issue number3
StatePublished - 1 Mar 2020


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


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