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Duality for Equilibrium Problems under Generalized Monotonicity

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Abstract

Duality is studied for an abstract equilibrium problem which includes, among others, optimization problems and variational inequality problems. Following different schemes, various duals are proposed and primal–dual relationships are established under certain 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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Kazan University, Kazan, Russia

    I. V. Konnov (Professor)

  2. A. G. Anderson Graduate School of Management, University of California, Riverside, California

    S. Schaible (Professor)

Authors
  1. I. V. Konnov
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  2. S. Schaible
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Konnov, I.V., Schaible, S. Duality for Equilibrium Problems under Generalized Monotonicity. Journal of Optimization Theory and Applications 104, 395–408 (2000). https://doi.org/10.1023/A:1004665830923

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  • DOI: https://doi.org/10.1023/A:1004665830923

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