Ewa M. Bednarczuk

Error bounds for vector-valued functions on metric spaces

  • Ewa M. Bednarczuk
  • Alexander Y. Kruger
    • Categories Multi-Criteria Optimization, Nonsmooth Optimization Tags , , ,

    In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new primal space derivative-like objects — slopes — are introduced and a classification scheme of error bound criteria is presented. CitationPublished in Vietnam Journal … Read more

    Error bounds for vector-valued functions: necessary and sufficient conditions

  • Ewa M. Bednarczuk
  • Alexander Y. Kruger
    • Categories Nonsmooth Optimization Tags , , ,

    In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new derivative-like objects (slopes and subdifferentials) are introduced and a general classification scheme of error bound criteria is presented. CitationPublished in Nonlinear Analysis. Theory, … Read more