The Characterization of Efficiency and Saddle Point Criteria for Multiobjective Optimization Problem with Vanishing Constraints
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In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.
Key wordsmultiobjective optimization problem with vanishing constraints efficient solution invexity η-Lagrange function saddle point
2010 MR Subject Classification26B25 90C29 90C30
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