Slopes of multifunctions and extensions of metric regularity

  • Van Ngai Huynh
  • Alexander Y. Kruger
  • Michel Thera
    • Categories Nonsmooth Optimization Tags , , , , Short URL: https://optimization-online.org/?p=11893

    This article aims to demonstrate how the definitions of slopes can be extended to multi-valued mappings between metric spaces and applied for characterizing metric regularity. Several kinds of local and nonlocal slopes are defined and several metric regularity properties for set-valued mappings between metric spaces are investigated.

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    Published in Vietnam Journal of Mathematics 40:2&3(2012) 355-369. The original publication is available at http://www.math.ac.vn/publications/vjm/

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