Multiobjective Optimization Problem with Variational Inequality Constraints

Authors

J. J. Ye, University of Victoria
Qiji Jim Zhu, Western Michigan UniversityFollow

Document Type

Article

Publication Date

2003

Abstract

We study a general multiobjective optimization problem with variational inequality, equality, inequality and abstract constraints. Fritz John type necessary optimality conditions involving Mordukhovich coderivatives are derived. They lead to Kuhn-Tucker type necessary optimality conditions under additional constraint qualifications including the calmness condition, the error bound constraint qualification, the no nonzero abnormal multiplier constraint qualification, the generalized Mangasarian-Fromovitz constraint qualification, the strong regularity constraint qualification and the linear constraint qualification. We then apply these results to the multiobjective optimization problem with complementarity constraints and the multiobjective bilevel programming problem.

Comments

https://doi.org/10.1007/s10107-002-0365-3

WMU ScholarWorks Citation

Ye, J. J. and Zhu, Qiji Jim, "Multiobjective Optimization Problem with Variational Inequality Constraints" (2003). Math Faculty Publications. 13.
https://scholarworks.wmich.edu/math_pubs/13

Published Citation

Ye, J., Zhu, Q. Multiobjective optimization problem with variational inequality constraints. Mathematical Programing, Ser. A 96, 139–160 (2003). https://doi.org/10.1007/s10107-002-0365-3