Extremality of families of sets
Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao · Optimization · 2024
The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based on linear translations of given sets as well as its set-valued extensions. This approach leads to a more general and simpler version of fuzzy separation. The new model is capable of treating a wider range of optimization and variational problems.