Abstract
Using a fixed point theorem of Browder, the basic existence theorem of Lemke in linear complementarity theory is generalized to the nonlinear case.
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This research was supported in part by the National Science Foundation Grand GK-5695 and by the Army Research Office — Durham, Contract DAHC 04-67-C-0028.
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Eaves, B.C. On the basic theorem of complementarity. Mathematical Programming 1, 68–75 (1971). https://doi.org/10.1007/BF01584073
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DOI: https://doi.org/10.1007/BF01584073