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Combined Relaxation Method for Mixed Equilibrium Problems |
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| Authors: | I V Konnov S Schaible J C Yao |
| Institution: | (1) Professor, Department of Applied Mathematics, Kazan University, Kazan, Russia;(2) Professor, A.G. Anderson Graduate School of Management, University of California, Riverside, California;(3) Professor, Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan |
| 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.S. Schaible - This author gratefully acknowledges partial support from the National Science Council of Taiwan.J.C. Yao - His research was partially supported by Grant NSC 93-2115-M-110-011 |
| Keywords: | Mixed equilibrium problems generalized monotone bifunctions combined relaxation methods splitting-type methods |
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