NCKU Math colloquium


DATE2008-03-20 16:10-17:00

PLACE數學館地下室演講廳

SPEAKERProf. Siegfried Schaible(University of California Riverside

TITLECombined relaxation method for mixed equilibrium problems

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