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On Stability and hyperstability of Drygas functional equation in quasi-Banach space
  • Ravinder Sharma,
  • Sumit Chandok
Ravinder Sharma
Thapar Institute of Engineering and Technology
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Sumit Chandok
Thapar Institute of Engineering and Technology
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Abstract

In this paper, we investigate the Ulam-Hyers-Rassias stability for the Drygas functional equation $ f( x + y ) + f( x - y ) = 2f (x) + f (y)+ f(-y) $ in the setting quasi-Banach spaces using the approach of Brzdekā€™s fixed point theorem. Also, we gave a general result on the hyperstability of Drygas functional equation. The results obtained in this paper extend various previously known results to the setting of quasi-Banach space.