Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings: Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings
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| Title: | Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings: Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings |
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| Authors: | Ioffe, Alexander, Penot, Jean-Paul |
| Publisher Information: | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, 1996. |
| Publication Year: | 1996 |
| Subject Terms: | Methods involving semicontinuity and convergence, relaxation, Set-Valued Mapping, Nonsmooth analysis, lower semicontinuous functions, Fréchet and Gateaux differentiability in optimization, Lower Semicontinuous Function, Normal Cone, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, coderivatives, set-valued mappings, Coderivative, subdifferentials, Marginal Function, Subdifferential |
| Description: | The authors consider several types of subdifferentials of functions and associated coderivatives of set-valued mappings. After recalling some basic calculus rules for subdifferentials, they deduce the formulas for the coderivative of composition, addition and intersection of set-valued mappings. A crucial point is the possibility of expressing the indicator function of the resulting mapping through addition and minimization of the indicator functions of the components. |
| Document Type: | Article |
| File Description: | application/xml |
| Access URL: | https://zbmath.org/986619 https://hdl.handle.net/10525/612 |
| Accession Number: | edsair.dedup.wf.002..79a259e8f500d1c4799bb33a5ea49eda |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | The authors consider several types of subdifferentials of functions and associated coderivatives of set-valued mappings. After recalling some basic calculus rules for subdifferentials, they deduce the formulas for the coderivative of composition, addition and intersection of set-valued mappings. A crucial point is the possibility of expressing the indicator function of the resulting mapping through addition and minimization of the indicator functions of the components. |
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