Structural and Stability Properties of P 0 Nonlinear Complementarity Problems

Published Online:https://doi.org/10.1287/moor.23.3.735

References

  • Ambrosetti A. , Rabinowitz P. Dual variational methods in critical point theory and applications. J. Functional Anal. (1973) 14 349 381 CrossrefGoogle Scholar
  • Cao M. , Ferris M. C. P c -matrices and the linear complementarity problem. Linear Algebra Appl. (1996) 246 299 312 CrossrefGoogle Scholar
  • Clarke F. H. Optimization and Nonsmooth Analysis (1983) (Wiley, New York) Google Scholar
  • Cottle R. W. , Pang J.-S. , Stone R. E. The Linear Complementarity Problem (1992) (Academic Press, Boston) Google Scholar
  • De Luca T. , Facchinei F. , Kanzow C. A semismooth equation approach to the solution of nonlinear complementarity problems. Math. Programming (1996) 75 407 439 CrossrefGoogle Scholar
  • Ekeland I. Convexity Methods in Hamiltonian Mechanics (1990) (Springer Verlag, Berlin) CrossrefGoogle Scholar
  • Facchinei F. Structural and stability properties of P0 nonlinear complementarity problems (1997) . DIS Working paper 12–97, Universita di Roma “La Sapienza,” Roma, Italy Google Scholar
  • Facchinei F. , Kanzow C. Beyond monotonicity in regularization methods for nonlinear complementarity problems (1997) . DIS Working paper 11–97, Universita di Roma “La Sapienza,” Roma, Italy Google Scholar
  • Fischer A. , Du D. Z. , Qi L. , Womersley R. S. An NCP-function and its use for the solution of complementarity problems. Recent Advances in Nonsmooth Optimization (1995) (World Scientific Publishers, Singapore) 88 105 CrossrefGoogle Scholar
  • Fonseca I. , Gangbo W. Degree Theory in Analysis and Applications (1995) (Clarendon Press, Oxford, England) Google Scholar
  • Gowda M. S. Applications of degree theory to linear complementarity problems. Math. Oper. Res. (1993) 18 868 879 LinkGoogle Scholar
  • Gowda M. S. , Sznajder R. Weak univalence and connectedness of inverse images of continuous functions (1997) . Technical report TR 97-02, Department of Mathematics and Statistics, University of Maryland Baltimore County, MD Google Scholar
  • Gowda M. S. , Pang J.-S. On solution stability of the linear complementarity problem. Math. Oper. Res. (1992) 17 77 83 LinkGoogle Scholar
  • Gowda M. S. , Pang J.-S. On the boundedness and stability of solutions to the affine variational inequality problem. SIAM J. Control Optim. (1994a) 32 421 441 CrossrefGoogle 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. (1994b) 19 831 879 LinkGoogle Scholar
  • Ha C. D. Stability of the linear complementarity problem at a solution point. Math. Programming (1985) 31 327 338 CrossrefGoogle Scholar
  • Ha C. D. Applications of degree theory in stability of the complementarity problem. Math. Oper. Res. (1987) 12 368 376 LinkGoogle 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) 48 161 220 CrossrefGoogle Scholar
  • Jansen M. J. M. , Tijs S. H. Robustness and nondegeneratess for linear complementarity problems. Math. Programming (1987) 37 293 308 CrossrefGoogle Scholar
  • Jones C. , Gowda M. S. On the connectedness of solution sets in linear complementarity problems. Linear Algebra Appl. (1998) 272 33 44 CrossrefGoogle Scholar
  • Lloyd N. G. Degree Theory (1978) (Cambridge University Press, Cambridge, England) Google Scholar
  • Moré J. , Rheinboldt W. On P- and S-functions and related classes of n-dimensional nonlinear mappings. Linear Algebra Appl. (1973) 6 45 68 CrossrefGoogle Scholar
  • Moré J. Classes of functions and feasibility conditions in nonlinear complementarity problems. Math. Programming (1974) 6 327 338 CrossrefGoogle Scholar
  • Ortega J. M. , Rheinboldt W. C. Iterative Solution of Nonlinear Equations in Several Variables (1970) (Academic Press, New York, NY) Google Scholar
  • Palais R. S. , Terng C.-L. Critical Point Theory and Submanifold Geometry (1988) (Springer Verlag, Berlin) . Lecture Notes in Mathematics n. 1353 CrossrefGoogle Scholar
  • Pucci P. , Serrin J. Extensions of the Mountain Pass Theorem. J. Functional Anal. (1984) 59 185 210 CrossrefGoogle Scholar
  • Pucci P. , Serrin J. A Mountain Pass Theorem. J. Differential Equations (1985) 60 142 149 CrossrefGoogle Scholar
  • Pucci P. , Serrin J. The structure of the critical set in the Mountain Pass Theorem. Trans. Amer. Math. Soc. (1987) 299 115 132 CrossrefGoogle Scholar
  • Rabinowitz P. Minimax methods in critical point theory with applications to differential equations (1986) . CBMS Regional Conference n. 65, American Mathematical Society Google Scholar
  • Rapcsak T. On the connectedness of the solution set to linear complementarity systems. J. Optim. Theory Appl. (1994) 80 501 512 CrossrefGoogle Scholar
  • Robinson S. M. Generalized equations and their solutions, part I: Basic theory. Math. Programming Stud. (1979) 10 128 141 CrossrefGoogle 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.