On some optimization problem related to economic equilibrium

• Autorzy: Naniewicz Z.
• Języki publikacji: EN

Abstrakty

EN

The paper considers an optimization problem in which the minima of a finite collection of objective functions satisfy some unilateral constraints and are linked together by a certain subdifferential relationship. The governing relations are stated as a variational inequality defined on a nonconvex feasible set. By the reduction to the variational inequality involving nonmonotone multivalued mapping, defined over nonnegative orthant, the existence of solutions is examined. The prototype is the general economic equilibrium problem. The exemplification of the theory for the quadratic multi-objective function is provided.

Słowa kluczowe

EN

duality; equilibrium; optimization problem; variational inequalities

PL

dwoistość; nierówność wariacyjna; problem optymalizacji; równowaga

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 1
• Strony: 141--165
• Opis fizyczny: Bibliogr. 23 poz.,

Twórcy

autor

Naniewicz Z.

• Cardinal Stefan Wyszynski University, Faculty of Mathematics and Science, Dewajtis 5, O1-815 Warsaw, Poland,