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What is Second-Order Derivatives in C1-Optimization about?

This paper introduces new second-order set-valued directional derivatives for C1 functions in normed spaces, focusing on those with locally calm derivatives. The authors study the existence and properties of these derivatives, apply them to derive optimality conditions for constrained optimization problems, and provide examples to illustrate their findings. The results extend previous work on C1,1 functions and aim to improve the understanding of second-order optimality conditions in infinite dimensional sp

Author

Lanphuong Nguyen

Language

EN