Functions without exceptional family of elements and the solvability of variational inequalities on unbounded sets
Keywords
Variational inequalities, (0, k)-epi mappings and exceptional family of elements for a mappingAbstract
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).Downloads
Published
2002-12-01
How to Cite
1.
ISAC, George and 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 December 2002. Vol. 20, no. 2, pp. 375 - 391. [Accessed 19 April 2024].
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