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Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems |
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| Authors: | G Isac S Z Németh |
| Institution: | (1) Department of Mathematics and Computer Science, STN Forces, Royal Military College of Canada, P. O. Box 17000, Kingston, ON, K7K 7B4, Canada;(2) School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK |
| Abstract: | Conditions for the non-existence of a regular exceptional family of elements with respect to an isotone projection cone in a Hilbert space will be presented. The obtained results will be used for generating existence theorems for a complementarity problem with respect to an isotone projection cone in a Hilbert space. |
| Keywords: | Non-existence of a regular exceptional family of elements Isotone projection cones Complementarity problems |
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