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math.OC2026
The local minimality of differentiable functions
Tien-Son Pham
In this paper we present necessary and sufficient conditions (in terms of Łojasiewicz inequalities) for the stability of local minimum points in smooth unconstrained optimization.…
math.OC2025
The radius of metric regularity at infinity
Tung Minh Nguyen, Tien-Son Pham
This paper, in the setting at infinity, presents some relationships between the modulus of metric regularity and the radius of (strong) metric regularity that gives a measure of th…
math.OC2023
Subdifferentials at infinity and applications in optimization
Do Sang Kim, Minh Tung Nguyen, Tien Son Pham
In this work, the notions of normal cones at infinity to unbounded sets and limiting and singular subdifferentials at infinity for extended real value functions are introduced. Var…