Extremality of families of sets

Abstract

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.

12 pages

References in corpus (1)

• Extremality of families of sets

Cited by in corpus (4)

• Extremality of families of sets
• Sequential Extremal Principle and Necessary Conditions for Minimizing Sequences
• Generalized Separation of Collections of Sets
• Extremality of families of sets and set-valued optimization