Abstract
The topological degree theory is applied to study the problem of existence of solutions to complementarity problems of various kinds. A notion of an exceptional family of elements is introduced, and assertions of a non-strict alternative type are obtained. Namely, for a continuous mapping, there exists at least one of the following two objects: either a solution to the complementarity problem, or an exceptional family of elements. Hence, if there is no exceptional families, then at least one solution exists.
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© 1998 Kluwer Academic Publishers
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Bulavsky, V.A., Isac, G., Kalashnikov, V.V. (1998). Application of Topological Degree Theory to Complementarity Problems. In: Migdalas, A., Pardalos, P.M., Värbrand, P. (eds) Multilevel Optimization: Algorithms and Applications. Nonconvex Optimization and Its Applications, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0307-7_15
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DOI: https://doi.org/10.1007/978-1-4613-0307-7_15
Publisher Name: Springer, Boston, MA
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