Geodesic
On Sufficiency for Mathematical Programming Problems With Equilibrium Constraints
Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 173 .

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In this paper, we consider a mathematical programming with equilibrium constraints (MPEC) where the objective and constraint functions are continuously differentiable. We establish the sufficient optimality condition for strict local minima of order m under the assumptions of generalized strong convexity of order m.
Classification : 90C30, 90C33, 90C46
Keywords: Mathematical programming with equilibrium constraint, sufficient optimality condition, higher-order strong convexity. 
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     author = {Shashi Kant Mishra and Yogendra Pandey},
     title = {On {Sufficiency} for {Mathematical} {Programming} {Problems} {With} {Equilibrium} {Constraints}},
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Shashi Kant Mishra; Yogendra Pandey. On Sufficiency for Mathematical Programming Problems With Equilibrium Constraints. Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 173 . http://geodesic.mathdoc.fr/item/YJOR_2013_23_2_a2/