Exceptional Family of Elements, Leray–Schauder Alternative, Pseudomonotone Operators and Complementarity

G. Isac and V. V. Kalashnikov

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 1, No 4, 69-83

Abstract: Abstract In this paper, the property of a function to be without exceptional family of elements (EFE) is investigated. We show that, for a pseudomonotone operator, the solvability of a complementarity problem is equivalent to the property of the function to be without EFE. Finally, we study the strict feasibility of a complementarity problem making use of the Leray-Schauder alternative and the notion of EFE.

Keywords: exceptional family of elements; pseudomonotone operators; complementarity problems; existence of solutions (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/A:1017509704362

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