• Title of article

    On scalar and vector image-stable functions Original Research Article

  • Author/Authors

    Ivan Ginchev، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    13
  • From page
    182
  • To page
    194
  • Abstract
    The notion of a scalar function that is ℓℓ-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the ℓℓ-stable functions is obtained. Further, the notion of an ℓℓ-stable function is generalized from scalar to vector functions. In an application, optimality conditions for constrained vector problems with ℓℓ-stable data are established.
  • Keywords
    ??-stable functions , Lipschitz functions , 1C1 , 1 functions , C1 , Vector optimization , optimality conditions
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2011
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    862843