cutter operator

Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning

  • Mark Brooke
  • Yair Censor
  • Aviv Gibali
    • Categories Biomedical Applications, Nonlinear Optimization Tags , , , , , , ,

    We study a feasibility-seeking problem with percentage violation constraints. These are additional constraints, that are appended to an existing family of constraints, which single out certain subsets of the existing constraints and declare that up to a specified fraction of the number of constraints in each subset is allowed to be violated by up to … Read more

    Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning

  • Mark Brooke
  • Yair Censor
  • Aviv Gibali
    • Categories Biomedical Applications, Constrained Nonlinear Optimization, Convex Optimization Tags , , , , , , , , ,

    In this paper we study a feasibility-seeking problem with percentage violation con- straints. These are additional constraints, that are appended to an existing family of constraints, which single out certain subsets of the existing constraints and declare that up to a speci ed fraction of the number of constraints in each subset is allowed to be … Read more

    Extrapolation and Local Acceleration of an Iterative Process for Common Fixed Point Problems

  • Andrzej Cegielski
  • Yair Censor
    • Categories Convex Optimization Tags , , , ,

    We consider sequential iterative processes for the common fixed point problem of families of cutter operators on a Hilbert space. These are operators that have the property that, for any point x∈H, the hyperplane through Tx whose normal is x-Tx always “cuts” the space into two half-spaces one of which contains the point x while … Read more