Duality for Equilibrium Problems under General Monotonicity

Igor Konnov () and S. Schaible

The A. Gary Anderson Graduate School of Management from The A. Gary Anderson Graduate School of Management. University of California Riverside

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.

Keywords: OPTIMIZATION; MATHEMATICAL ANALYSIS; ECONOMICS (search for similar items in EconPapers)
JEL-codes: A10 C00 C60 (search for similar items in EconPapers)
Pages: 15 pages
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:fth:caland:99-02

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