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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Generalized Monotone Maps and Complementarity Problems
verfasst von : S. K. Neogy, A. K. Das
Erschienen in: Topics in Nonconvex Optimization
Verlag: Springer New York
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In this chapter, we present some classes of generalized monotone maps and their relationship with the corresponding concepts of generalized convexity. We present results of generalized monotone maps that are used in the analysis and solution of variational inequality and complementarity problems. In addition, we obtain various characterizations and establish a connection between affine pseudomonotone mapping, affine quasimonotone mapping, positive-subdefinite matrices, generalized positive-subdefinite matrices, and the linear complementarity problem. These characterizations are useful for extending the applicability of Lemke’s algorithm for solving the linear complementarity problem.