The minimal criterion for the equivalence between local and global optimal solutions in nondifferentiable optimization problem
Manuel Arana‐Jiménez, Tadeusz Antczak · Mathematical Methods in the Applied Sciences · 2017
In the paper, a necessary and sufficient criterion it provided such that any local optimal solution is also global in a not necessarily differentiable constrained optimization problem. This criterion is compared to others earlier appeared in the literature, which are sufficient but not necessary for a local optimal solution to be global. The importance of the established criterion is illustrated by suitable examples of nonconvex optimization problems presented in the paper.