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math.OC2026
Second-Order Sensitivity of Efficient Solution and Marginal Maps in Parametric Vector Optimization with Set Constraints
N. X. D. Bao, Tan H. Cao
We develop a second-order sensitivity theory for the efficient solution map \(S\) of a parametric vector optimization problem \(\min_C f(p,x)\) subject to \(x\in H(p)\). The main p…
math.OC2026
Convex Generalized Differentiation at infinity
Nguyen Xuan Duy Bao, Nguyen Mau Nam
In this paper, we develop a generalized differentiation theory at infinity for convex sets and functions. In particular, we study several fundamental notions of convex analysis at…