Exceptional Families, Topological Degree and Complementarity Problems |
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| Authors: | G Isac V Bulavski V Kalashnikov |
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| Institution: | (1) Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada, K7K 5L0;(2) Central Economics and Mathematics Institute (CEMI) of Russian Academy of Science, 32 Krasikova Str., Moscow, 117 418, Russia |
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| Abstract: | By using the topological degree we introduce the concept of  exceptionalfamily of elements specifically for continuous functions. This has importantconsequences pertaining to the solvability of the explicit, the implicit andthe general order complementarity problems. In this way a new direction forresearch in the complementarity theory is now opened. |
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| Keywords: | Exceptional family of elements topological degree andcomplementarity problems |
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