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Duality for Equilibrium Problems under General Monotonicity

Author

Listed:
  • Konnov, I.V.
  • Schaible, S.

Abstract

Duality is studied for an abstract equilibrium problem which includes, among others, optimization problems and variational inequality problems. Follwing different schemes, various duals are proposed and primal-dual relationships are established under certaing generalized convexity and generalized monotonicity assumptions. In a primal-dual setting, existence results for a solution are derived for different generalized monotone equilibrium problems within each duality scheme.

Suggested Citation

  • Konnov, I.V. & Schaible, S., 1999. "Duality for Equilibrium Problems under General Monotonicity," The A. Gary Anderson Graduate School of Management 99-02, The A. Gary Anderson Graduate School of Management. University of California Riverside.
    • Handle: RePEc:fth:caland:99-02
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    More about this item

    Keywords

    OPTIMIZATION ; MATHEMATICAL ANALYSIS ; ECONOMICS;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • A10 - General Economics and Teaching - - General Economics - - - General

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