Generalized linear complementarity problems treated without fixed-point theory

  • J. M. Borwein
Contributed Papers


We study the (monotone) linear complementarity problem in reflexive Banach space. The problem is treated as a quadratic program and shown to satisfy appropriate constraint qualifications. This leads to a theory of the generalized monotone linear complementarity problem which is independent of Brouwer's fixed-point theorem. Certain related results on linear systems are given. The final section concerns copositive operators.

Key Words

Complementarity dual inequality systems convex duality quadratic programming 


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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • J. M. Borwein
    • 1
  1. 1.Mathematics DepartmentDalhousie UniversityHalifax

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