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Complementarity Problems

  • Chapter
Handbook of Global Optimization

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 2))

Abstract

This chapter presents a comprehensive treatment of the nonlinear complementarity problem and several related mathematical programs in finite dimensions. Topics discussed include existence theory, solution methods, sensitivity and stability analysis, and applications to equilibrium modeling and engineering problems. Some future research directions are suggested and an extensive list of references is given.

This work was based on research supported by the National Science Foundation under grants DDM-9104078 and CCR-9213739 and the Office of Naval Research under project 4116687-01.

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  1. Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, Maryland, 21218-2689, USA

    Jong-Shi Pang

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  1. Department of Mathematics, University of Trier, Trier, Germany

    Reiner Horst

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

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Pang, JS. (1995). Complementarity Problems. In: Horst, R., Pardalos, P.M. (eds) Handbook of Global Optimization. Nonconvex Optimization and Its Applications, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2025-2_6

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