The DTC (difference of tangentially convex functions) programming: optimality conditions

<p style='text-indent:20px;'>Multiobjective optimization problems typically have conflicting objectives, and a gain in one objective very often is an expense in another. In this paper, we investigate a multiobjective bilevel optimization problem. Using the concept of efficiency together with the optimal value reformulation, we give necessary optimality conditions in terms of tangential subdifferentials. Completely detailed first-order necessary optimality conditions are then derived in the special case where the lower level problem is convex. An example that illustrates our findings is also given.</p>

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On multiobjective bilevel optimization using tangential subdifferentials

Gadhi

Ohda

2023

JIMO

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The DTC (difference of tangentially convex functions) programming: optimality conditions

Cited by 1 publication

References 32 publications

On multiobjective bilevel optimization using tangential subdifferentials

On multiobjective bilevel optimization using tangential subdifferentials

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