Duality for Equilibrium Problems under Generalized Monotonicity

Igor Konnov () and S. Schaible
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S. Schaible: University of California

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 2, No 7, 395-408

Abstract: 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.

Keywords: equilibrium problems; generalized convexity; generalized monotonicity; duality schemes (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004665830923

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