On the equivalence of nonlinear complementarity problems and least-element problems

On the equivalence of nonlinear complementarity problems and least-element problems

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Article ID: iaor19971104
Country: Netherlands
Volume: 70
Issue: 2
Start Page Number: 191
End Page Number: 200
Publication Date: Oct 1995
Journal: Mathematical Programming (Series A)
Authors: ,
Keywords: complementarity
Abstract:

Strictly pseudomonotone Z-maps operating on Banach lattices are considered. Equivalence of complementarity problems and least-element problems is established under certain regularity and growth conditions. This extends a recent result by Riddell for strictly monotone Z-maps to the pseudomonotone case. Some other problems equivalent to the above are discussed as well.

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