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A predictor‐corrector method for a class of equilibrium problems
Author(s) -
Preda Vasile,
Beldiman Miruna,
Bătătorescu Anton
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700309
Subject(s) - skew , monotone polygon , convergence (economics) , sequence (biology) , mathematics , predictor–corrector method , class (philosophy) , symmetry (geometry) , pure mathematics , mathematical optimization , computer science , geometry , telecommunications , artificial intelligence , biology , economics , genetics , economic growth
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)