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Exceptional family of elements for general order complementarity problems |
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| Authors: | S.Z. Né meth |
| Affiliation: | The University of Birmingham, School of Mathematics, The Watson Building, Edgbaston, B15 2TT Birmingham, United Kingdom |
| Abstract: | The notion of exceptional family of elements for general order complementarity problems in Banach spaces will be introduced. It will be shown that for general order complementarity problems defined by completely continuous fields the problem has either a solution or an exceptional family of elements. Finite dimensional examples and an application to integral operators will be given. |
| Keywords: | General order complementarity problem Ordered Banach space Vector lattice Leray-Schauder alternative Exceptional family of elements Integral operator |
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