Coderivative Analysis of Quasi-variational Inequalities with Applications to Stability and Optimization

  title={Coderivative Analysis of Quasi-variational Inequalities with Applications to Stability and Optimization},
  author={Boris S. Mordukhovich and Jir{\'i} V. Outrata},
  journal={SIAM Journal on Optimization},
We study equilibrium models governed by parameter-dependent quasi-variational inequalities important from the viewpoint of optimization/equilibrium theory as well as numerous applications. The main focus is on quasi-variational inequalities with parameters entering both singlevalued and multivalued parts of the corresponding generalized equations in the sense of Robinson. The main tools of our variational analysis involve coderivatives of solution maps to quasi-variational inequalities, which… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 36 extracted citations


Publications referenced by this paper.
Showing 1-10 of 38 references

Variational Analysis and Generalized Differentiation

  • B. S. Mordukhovich
  • II: Applications, Springer, Berlin
  • 2006
Highly Influential
15 Excerpts

Generalized Nash games and quasivariational inequality

  • P. T. Harker
  • European J. Oper. Res., 54
  • 1990
Highly Influential
5 Excerpts

Finite-Dimensional Variational Inequalities and Complementary Problems

  • F. Facchinei, J.-S. Pang
  • Springer, New York
  • 2003
Highly Influential
5 Excerpts

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

  • J. V. Outrata, M. Kočvara, J. Zowe
  • Kluwer, Dordrecht, The Netherlands
  • 1998
Highly Influential
4 Excerpts

Generalized differential calculus for nonsmooth and set-valued mappings

  • B. S. Mordukhovich
  • J. Math. Anal. Appl., 183
  • 1994
Highly Influential
4 Excerpts

Approximation Methods in Problems of Optimization and Control

  • B. S. Mordukhovich
  • Nauka, Moscow
  • 1988
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…