On metric and calmness qualification conditions in subdifferential calculus (Q931418)

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scientific article; zbMATH DE number 5292861
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On metric and calmness qualification conditions in subdifferential calculus
scientific article; zbMATH DE number 5292861

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    On metric and calmness qualification conditions in subdifferential calculus (English)
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    25 June 2008
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    The authors derive criteria for calmness/subregularity in terms of outer subdifferentials and outer coderivatives for set-valued mappings between finite dimensional spaces. They discuss the relationship between the qualification conditions and establish the basic calculus rules of nonsmooth subdifferential calculus for sets, functions and set-valued mappings under the metric and calmness/subregularity qualification conditions.
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    subdifferential calculus
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    qualification conditions
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    metric estimates
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    calmness
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    metric subregularity
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    outer subdifferential
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    outer coderivative
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    limiting subdifferential
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    limiting normal cone
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