Analysis shows duality results in multiobjective fractional variational problems using higher-order pseudoinvexity, indicating relationships between primal and dual values.
This study investigates a class of multiobjective fractional variational problems that incorporate support functions. Utilizing the concept of higher-order pseudoinvexity, we establish duality results for these problems. We present an example of a non-trivial functional that demonstrates higher-order pseudoinvexity, distinguishing it from first-order pseudoinvexity. Our theoretical analysis elucidates the relationship between the primal and dual values within the proposed model. To validate the weak duality theorem, we also provide a practical example.
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Dhingra et al. (2025) studied this question.
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