On modular firmly nonexpansive mappings in the variable exponent sequence spaces ℓp(·)

Afrah A.N. Abdou, M. A. Khamsi

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Abstract

In this paper, we reexamine the concept of firmly nonexpansiveness in the modular sense in the variable exponent sequence spaces ℓp(·). In particular, we extend the classical fixed point results for firmly nonexpansive mappings defined in Banach spaces to the modular case within the spaces ℓp(·).

Original languageBritish English
Article number8
JournalJournal of Fixed Point Theory and Applications
Volume23
Issue number1
DOIs
StatePublished - Mar 2021

Keywords

  • Electrorheological fluids
  • fixed point
  • modular firmly nonexpansive mapping
  • modular vector spaces
  • Nakano
  • strictly convex
  • uniformly convex

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