1 citations · 3 across the 14 of their papers we have counts for
5 papers · 1 filter
Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
The paper is devoted to deriving novel second-order necessary and sufficient optimality conditions for local minimizers in rather general classes of nonsmooth unconstrained and con…
Local Minimizers of Nonconvex Functions in Banach Spaces via Moreau Envelopes
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
This paper investigates the preservation of local minimizers and strong minimizers of extended-real-valued lower semicontinuous functions under taking their Moreau envelopes. We ad…
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…