Exceptional Families, Topological Degree and Complementarity Problems

Authors:
G. Isac;V. Bulavski;V. Kalashnikov
Affiliations:
Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada, K7K 5L0/;Central Economics and Mathematics Institute (CEMI) of Russian Academy of Science, 32 Krasikova Str., Moscow 117 418, Russia;Central Economics and Mathematics Institute (CEMI) of Russian Academy of Science, 32 Krasikova Str., Moscow 117 418, Russia
Venue:
Journal of Global Optimization
Year:
1997

Citing 5
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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.