Bayoumi Quasi-Differential is different from Fréchet-Differential

Aboubakr Bayoumi
  • 1 Uppsala University
  • 2 Al-Azhar University


We prove that the Quasi Differential of Bayoumi of maps between locally bounded F-spaces may not be Fréchet-Differential and vice versa. So a new concept has been discovered with rich applications (see [1–6]). Our F-spaces here are not necessarily locally convex

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