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math.OC2025
Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat +1
In this paper, we establish characterizations of variational -convexity and tilt stability for prox-regular functions in the absence of subdifferential continuity via quadratic…
math.OC2025
Generalized Twice Differentiability and Quadratic Bundles in Second-Order Variational Analysis
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat +1
In this paper, we investigate the concepts of generalized twice differentiability and quadratic bundles of nonsmooth functions that have been very recently proposed by Rockafellar…
math.OC2024
Lipschitz Modulus of Convex Functions via Function Values
Pham Duy Khanh, Vu Vinh Huy Khoa, Vo Thanh Phat +1
In this note, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of tha…