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Duality results on mathematical programs with vanishing constraints involving generalized invex functions

Joshi Bhuwan Chandra

Control and Cybernetics

2023

Vol. 52, No. 4

351--379

In the here presented research, we investigate Wolfe and Mond-Weir duality models applied to a specific category of generalized convex functions known as p-invex functions. We establish various dualities between the primal MPVC and itsWolfe type dual, as well as between the primal MPVC (mathematical program with vanishing constraints) and its Mond-Weir type dual under p- invexity assumptions. To illustrate these theorems, we will include some examples.