Periodic points of modular firmly mappings in the variable exponent sequence spaces ℓp(·)

Afrah A.N. Abdou, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓp(·) . In particular, we consider the case of modular firmly nonexpansive and modular firmly asymptotically nonexpansive mappings. These kinds of results have never been obtained before.

Original languageBritish English
Article number2418
JournalMathematics
Volume9
Issue number19
DOIs
StatePublished - 1 Oct 2021

Keywords

  • Electrorheological fluids
  • Fixed point
  • Modular firmly nonexpansive mapping
  • Modular vector spaces
  • Periodic point
  • Strictly convex
  • Uniformly convex

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