Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/612

 Title: Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings Authors: Ioffe, AlexanderPenot, Jean-Paul Keywords: Set-Valued MappingLower Semicontinuous FunctionSubdifferentialNormal ConeCoderivativeMarginal Function Issue Date: 1996 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 22, No 3, (1996), 359p-384p Abstract: 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 Gˆateaux 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 presented in the paper are simple formulas for subdifferentials of marginal, or performance functions. URI: http://hdl.handle.net/10525/612 ISSN: 1310-6600 Appears in Collections: Volume 22 Number 3

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