1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
Relationships between Global and Local Monotonicity of Operators
Pham Duy Khanh, Vu Vinh Huy Khoa, Juan Enrique Martínez-Legaz +1
The paper is devoted to establishing relationships between global and local monotonicity, as well as their maximality versions, for single-valued and set-valued mappings between fi…
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…
Inexact proximal methods for weakly convex functions
Pham Duy Khanh, Boris Mordukhovich, Vo Thanh Phat +1
This paper proposes and develops inexact proximal methods for finding stationary points of the sum of a smooth function and a nonsmooth weakly convex one, where an error is present…