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arxiv: 1411.6414 · v2 · pith:QCVLMZPAnew · submitted 2014-11-24 · 🧮 math.OC

Error Bounds and Holder Metric Subregularity

classification 🧮 math.OC
keywords metricholdersubregularityboundscriteriaerrorgeneralasplund
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The Holder setting of the metric subregularity property of set-valued mappings between general metric or Banach/Asplund spaces is investigated in the framework of the theory of error bounds for extended real-valued functions of two variables. A classification scheme for the general Holder metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.

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