A predictor‐corrector method for a class of equilibrium problems
Vasile Preda, Miruna Beldiman, Anton Bătătorescu · PAMM · 2007
Abstract We consider two classes of generalized monotone functions and generalized skew symmetric functions. By applying the method of auxiliary‐principle, we propose and study a predictor‐corrector algorithm for solving mixed quasiequilibrium problems involving σ ‐pseudomonotone functions with respect to a ξ ‐skew symmetric bifunction, which are concepts introduced in this paper. We prove the convergence of the iterative sequence under generalized pseudomonotonicity and skew symmetry assumptions, improving some known results in the recent literature. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)