As convexity plays an important role in solving mathematical programming problems, so, too, does monotonicity in solving variational inequality and nonlinear complementarity problems. Pioneering work was done by Cottle, Dantzig, Karamardian, Stampacchia, and many others (see for instance [71, 74, 134, 154, 155]).
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). Generalized Convexity and Generalized Monotonicity. In: Generalized Convexity and Optimization. Lecture Notes in Economics and Mathematical Systems, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70876-6_5
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DOI: https://doi.org/10.1007/978-3-540-70876-6_5
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