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math.OC2026
Second-Order Sensitivity of Efficient Solution Maps in Parametric Vector Optimization with Set Constraints
N. X. D. Bao, Tan H. Cao
We study second-order fixed-ray Dini sensitivity of the efficient solution map \(S\) for the parametric vector problem \(\min_C f(p,x)\) subject to \(x\in H(p)\). Under a value-to-…
math.OC2026
Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators
Tan H. Cao, Hassan Saoud
We study a catching-up algorithm for a class of differential inclusions driven by maximal monotone operators with continuous perturbations. Using a decomposition of the monotone op…