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arXiv · 1502.06159

Nonlinear Metric Subregularity

Alexander Y. Kruger
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Abstract

In this article, we investigate nonlinear metric subregularity properties of set-valued mappings between general metric or Banach spaces. We demonstrate that these properties can be treated in the framework of the theory of (linear) error bounds for extended real-valued functions of two variables developed in A. Y. Kruger, Error bounds and metric subregularity, Optimization 64, 1 (2015) 49-79. Several primal and dual space local quantitative and qualitative criteria of nonlinear metric subregularity are formulated. The relationships between the criteria are established and illustrated.

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Alexander Y. Kruger. 2015-09-25. Nonlinear Metric Subregularity. https://doi.org/10.1007/s10957-015-0807-8

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