Optimization with Multivalued Mappings

Theory, Applications, and Algorithms

Editors:

ISBN: 978-0-387-34220-7 (Print) 978-0-387-34221-4 (Online)

Table of contents (13 chapters)

  1. Bilevel Programming

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-28

      Optimality conditions for bilevel programming problems

    3. No Access

      Book Chapter

      Pages 29-50

      Path-based formulations of a bilevel toll setting problem

    4. No Access

      Book Chapter

      Pages 51-71

      Bilevel programming with convex lower level problems

    5. No Access

      Book Chapter

      Pages 73-95

      Optimality criteria for bilevel programming problems using the radial subdifferential

    6. No Access

      Book Chapter

      Pages 97-107

      On approximate mixed Nash equilibria and average marginal functions for two-stage three-players games

  2. Mathematical Programs with Equilibrium Constraints

    1. Front Matter

      Pages 109-109

    2. No Access

      Book Chapter

      Pages 111-122

      A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints

    3. No Access

      Book Chapter

      Pages 123-142

      On the use of bilevel programming for solving a structural optimization problem with discrete variables

    4. No Access

      Book Chapter

      Pages 143-168

      On the control of an evolutionary equilibrium in micromagnetics

    5. No Access

      Book Chapter

      Pages 169-208

      Complementarity constraints as nonlinear equations: Theory and numerical experience

    6. No Access

      Book Chapter

      Pages 209-228

      A semi-infinite approach to design centering

  3. Set-Valued Optimization

    1. Front Matter

      Pages 229-229

    2. No Access

      Book Chapter

      Pages 231-249

      Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities

    3. No Access

      Book Chapter

      Pages 251-264

      Optimality conditions for a d.c. set-valued problem via the extremal principle

    4. No Access

      Book Chapter

      Pages 265-276

      First and second order optimality conditions in set optimization