Error Bounds and Hölder Metric Subregularity

By Alexander Y. Kruger. 2014

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The Hölder 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 Hölder metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis

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