Combined Relaxation Method for Mixed Equilibrium Problems

Igor Konnov (), S. Schaible and J. C. Yao
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S. Schaible: University of California
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 2, No 5, 309-322

Abstract: Abstract We consider a general class of equilibrium problems which involve a single-valued mapping and a nonsmooth bifunction. Such mixed equilibrium problems are solved with a combined relaxation method using an auxiliary iteration of a splitting-type method for constructing a separating hyperplane. We prove the convergence of the method under the assumption that the dual of the mixed equilibrium problem is solvable. Convergence rates are also derived.

Keywords: Mixed equilibrium problems; generalized monotone bifunctions; combined relaxation methods; splitting-type methods. (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s10957-005-4716-0

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