4 papers · 1 filter
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…
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…
Variational and Strong Variational Convexity in Infinite-Dimensional Variational Analysis
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
This paper is devoted to a systematic study and characterizations of the fundamental notions of variational and strong variational convexity for lower semicontinuous functions. Whi…
Local Maximal Monotonicity in Variational Analysis and Optimization
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
The paper is devoted to a systematic study and characterizations of notions of local maximal monotonicity and their strong counterparts for set-valued operators that appear in vari…