Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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GENERALIZED HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL INEQUALITY IN MODULAR SPACES AND 𝛽-HOMOGENEOUS BANACH SPACES

  • Abderrahman Baza (Laboratory of Analysis, Geometry and Application, Departement of Mathematics, Ibn Tofail University) ;
  • Mohamed Rossafi (Departement of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University)
  • Received : 2023.08.18
  • Accepted : 2023.09.10
  • Published : 2024.03.15
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Abstract

In this work, we investigate the generalized Hyers-Ulam stability of quadratic functional inequality in modular spaces satisfying ∆2-conditions and Fatou property, and in 𝛽-homogeneous Banach spaces.

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References

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