Abstract
Strictly pseudomonotoneZ-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 (1981) for strictly monotoneZ-maps to the pseudomonotone case. Some other problems equivalent to the above are discussed as well.
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This work was partially supported by the National Science Council under grant NSC 82-0208-M-110-023.
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Schaible, S., Yao, JC. On the equivalence of nonlinear complementarity problems and least-element problems. Mathematical Programming 70, 191–200 (1995). https://doi.org/10.1007/BF01585936
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DOI: https://doi.org/10.1007/BF01585936