摘要
Anewbilevelgeneralizedmixedequilibriumproblem(BGMEP)involvinggeneralizedmixedvariational-likeinequalityproblems(GMVLIPs)isintroducedandstudiedinthereflexiveBanachspaces.First,anauxiliarygeneralizedmixedequilibriumproblem(AGMEP)isintroducedtocomputetheapproximatesolutionsoftheBGMEPinvolvingtheGMVLIPs.Byusingaminimaxinequality,theexistenceandtheuniquenessofsolutionsoftheAGMEPareprovedundermildconditionswithoutanycoerciveassumptions.Byusinganauxiliaryprincipletechnique,thenewiterativealgorithmsareproposedandanalyzed,withwhichtheapproximatesolutionsoftheBGMEParecomputed.Thestrongconvergenceoftheiterativesequencegeneratedbythealgorithmsisshownundermildconditionswithoutanycoerciveassumptions.Thesenewresultscangeneralizesomerecentresultsinthisfield.
出版日期
2011年11月21日(中国期刊网平台首次上网日期,不代表论文的发表时间)