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Approximation of generalized derivation in quasi-Banach algebras

  • Jawad Boutarfass,
  • Iz-iddine EL-Fassi,
  • Lahcen Oukhtite

摘要

Motivated by the notion of the Hyers–Ulam stability, we will first study the stability problem of a certain class of functional inequalities associated with Jordan–von Neumann type additive functional equation in quasi-Banach spaces. The second part of this research is devoted to investigate the approximation of generalized derivations satisfying some specific functional inequalities in quasi-Banach algebras.