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Solvability of Implicit Complementarity Problems

โœ Scribed by Vyacheslav V. Kalashnikov; George Isac


Book ID
110408105
Publisher
Springer US
Year
2002
Tongue
English
Weight
169 KB
Volume
116
Category
Article
ISSN
0254-5330

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In this paper, we introduce some new notions of (ฮฑ, ฮณ )-exceptional family of elements (in short, (ฮฑ, ฮณ )-(EFE)) and (ฮฑ, ฮฒ, ฮณ )-exceptional family of elements (in short, (ฮฑ, ฮฒ, ฮณ )-(EFE)) for a pair of continuous functions involved in the implicit complementarity problem (in short, ICP). Based upon

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This paper presents a connection between qualitative matrix theory and linear complementarity problems (LCPs). An LCP is said to be sign-solvable if the set of the sign patterns of the solutions is uniquely determined by the sign patterns of the given coefficients. We provide a characterization for