Local Indices for Degenerate Variational Inequalities

Published Online:https://doi.org/10.1287/moor.1070.0299

References

  • Bertsekas D., Nedic A., Ozdaglar A.Convex Analysis and Optimization (2003) (Athena Scientific, Belmont, MA) Google Scholar
  • Clarke F. H.Optimization and Nonsmooth Analysis (2003) (Wiley, New York) Google Scholar
  • Cottle R. W., Pang J.-S., Stone R. E.The Linear Complementarity Problem (1992) (Academic Press, Boston) Google Scholar
  • Facchinei F., Pang J.-S.Finite-Dimensional Variational Inequalities and Complementarity Problems (2003) 1(Springer-Verlag, New York) Google Scholar
  • Gowda M. S. Applications of degree theory to linear complementarity problems. Math. Oper. Res. (1993) 18(4):868–879LinkGoogle Scholar
  • Gowda M. S., Pang J.-S. Stability analysis of variational inequalities and nonlinear complementarity problems, via the mixed linear complementarity problem and degree theory. Math. Oper. Res. (1994) 19(4):831–879LinkGoogle Scholar
  • Ha C. D. Application of degree theory in stability of the complementarity problem. Math. Oper. Res. (1987) 12(2):368–376LinkGoogle Scholar
  • Harker P. T., Pang J.-S. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms, and applications. Math. Programming (1990) 48:161–220CrossrefGoogle Scholar
  • Kojima M., Saigal R. On the number of solutions to a class of linear complementarity problems. Math. Programming (1979) 17:136–139CrossrefGoogle Scholar
  • Kojima M., Saigal R. On the number of solutions to a class of complementarity problems. Math. Programming (1981) 21:190–203CrossrefGoogle Scholar
  • Kolstad C. D., Mathiesen L. Necessary and sufficient conditions for uniqueness of a cournot equilibrium. Rev. Econom. Stud. (1987) 24(4):681–690CrossrefGoogle Scholar
  • Ortega J. M., Rheinboldt W. C.Iterative Solution of Nonlinear Equations in Several Variables (1970) (Academic Press, New York) Google Scholar
  • Saigal R., Simon C. Generic properties of the complementarity problem. Math. Programming (1973) 4:324–335CrossrefGoogle Scholar
  • Simsek A., Ozdaglar A., Acemoglu D. Application of degree theory in stability of the complementarity problem. Math. Oper. Res. (1987) 12(2):368–376LinkGoogle Scholar
  • Stewart D. E. An index formula for degenerate LCPs. Linear Algebra Appl. (1993) 191:41–51CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.