3 papers
math.OC2023
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…
math.FA2018
On Second-order Conditions for Quasiconvexity and Pseudoconvexity of -smooth Functions
Pham Duy Khanh, Vo Thanh Phat
For a -smooth function on a finite-dimensional space, a necessary condition for its quasiconvexity is the positive semidefiniteness of its Hessian matrix on the subs…
math.OC2018
Variational Inequalities Governed By Strongly Pseudomonotone Operators
Pham Tien Kha, Pham Duy Khanh
Qualitative and quantitative aspects for variational inequalities governed by strongly pseudomonotone operators on Hilbert space are investigated in this paper. First, we establish…