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math.OC2026
Directional Optimality Conditions for Optimization Problems in Asplund Spaces
Weihao Mao, Jane J. Ye
This paper develops directional necessary optimality conditions for constrained optimization problems in Asplund spaces. Under directional metric subregularity, we first derive a d…
math.OC2026
Directional Subdifferentials of the Value Function in Asplund Spaces
Weihao Mao, Jane J. Ye
Directional subdifferentials of the value function provide a quantitative measure of optimal value response to perturbations. While existing results are largely limited to finite-d…