Sufficient conditions for error bounds and linear regularity in Banach spaces

Zhou, Wei; He, Qing

doi:10.1007/s10114-014-2522-z

Acta. Math. Sin.-English Ser.

2014

DOI: 10.1007/s10114-014-2522-z

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Sufficient conditions for error bounds and linear regularity in Banach spaces

Wei Zhou

Qing He

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2014

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Error bounds and metric subregularity

Kruger

2014

Optimization

112

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Dedicated to the 40th Anniversary of the journal; its founder and former editor-in-chief, Professor Karl-Heinz Elster;and Professor Alfred Göpfert, an editorial board member since 1988 in celebration of his 80th birthday)Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a special family of extended real-valued functions of two variables. A classification scheme for the general error bound and metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.

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Error bounds and metric subregularity

Kruger

2014

Optimization

112

View full text Add to dashboard Cite

show abstract

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Sufficient conditions for error bounds and linear regularity in Banach spaces

Cited by 1 publication

References 25 publications

Error bounds and metric subregularity

Error bounds and metric subregularity

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