Abstract.
The problem of finding a solution to a system of variational inequalities, which can be interpreted as a generalization of a convex optimization problem under arbitrary right-hand side constraint perturbations, is considered. We suggest this problem to be converted into a mixed variational inequality formulation of optimality conditions for a nonconvex and nonsmooth optimization problem. The latter problem can be solved by splitting type methods. Additional examples of applications to certain equilibrium type problems are also given.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
The author is grateful to referees for their helpful comments which improved essentially the exposition of the paper.
Manuscript received: March 2003/Final version received: December 2003
Rights and permissions
About this article
Cite this article
Konnov, I. Dual approach for a class of implicit convex optimization problems. Math Meth Oper Res 60, 87–99 (2004). https://doi.org/10.1007/s001860300337
Issue Date:
DOI: https://doi.org/10.1007/s001860300337