Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-valued Mappings

  title={Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-valued Mappings},
  author={Asen L. Dontchev},
The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gâteaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The key element of the unified approach to obtaining various calculus rules for various types of derivatives… CONTINUE READING

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