Derives second-order Dini formulas for efficient solution maps S from marginal maps Φ under value-to-decision error bounds and metric regularity conditions in parametric vector optimization.
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Approximate directional stationarity is formulated as a necessary optimality condition for nonsmooth constrained problems, with a qualification condition using one sequence to infer directional stationarity.
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Second-Order Sensitivity of Efficient Solution and Marginal Maps in Parametric Vector Optimization with Set Constraints
Derives second-order Dini formulas for efficient solution maps S from marginal maps Φ under value-to-decision error bounds and metric regularity conditions in parametric vector optimization.
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Approximate directional stationarity and associated qualification conditions
Approximate directional stationarity is formulated as a necessary optimality condition for nonsmooth constrained problems, with a qualification condition using one sequence to infer directional stationarity.