43 citations · 149 across the 103 of their papers we have counts for
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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…
General Derivative-Free Optimization Methods under Global and Local Lipschitz Continuity of Gradients
Pham Duy Khanh, Boris S. Mordukhovich, Dat Ba Tran
This paper addresses the study of derivative-free smooth optimization problems, where the gradient information on the objective function is unavailable. Two novel general derivativ…
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen +1
The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the d…
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…