Functions without exceptional family of elements and the solvability of variational inequalities on unbounded sets
Słowa kluczowe
Variational inequalities, (0, k)-epi mappings and exceptional family of elements for a mappingAbstrakt
In this paper we prove an alternative existence theorem for variational inequalities defined on an unbounded set in a Hilbert space. This theorem is based on the concept of exceptional family of elements (EFE) for a mapping and on the concept of $(0, k)$-epi mapping which is similar to the topological degree. We show that when a k-set field is without (EFE) then the variational inequality has a solution. Based on this result we present several classes of mappings without (EFE).Pobrania
Opublikowane
2002-12-01
Jak cytować
1.
ISAC, George & COJOCARU, M. Gabriela. Functions without exceptional family of elements and the solvability of variational inequalities on unbounded sets. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2002, T. 20, nr 2, s. 375–391. [udostępniono 3.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0