Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces-中国期刊网

摘要 Anewbilevelgeneralizedmixedequilibriumproblem(BGMEP)involvinggeneralizedmixedvariational-likeinequalityproblems(GMVLIPs)isintroducedandstudiedinthereflexiveBanachspaces.First,anauxiliarygeneralizedmixedequilibriumproblem(AGMEP)isintroducedtocomputetheapproximatesolutionsoftheBGMEPinvolvingtheGMVLIPs.Byusingaminimaxinequality,theexistenceandtheuniquenessofsolutionsoftheAGMEPareprovedundermildconditionswithoutanycoerciveassumptions.Byusinganauxiliaryprincipletechnique,thenewiterativealgorithmsareproposedandanalyzed,withwhichtheapproximatesolutionsoftheBGMEParecomputed.Thestrongconvergenceoftheiterativesequencegeneratedbythealgorithmsisshownundermildconditionswithoutanycoerciveassumptions.Thesenewresultscangeneralizesomerecentresultsinthisfield.

1丁协平. Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces.力学,2014-07.
2. UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS.计算数学,1996-02.
3C.Jaiboon;P.Kumam;U.W.Humphries. AN EXTRAGRADIENT METHOD FOR RELAXED COCOERCIVE VARIATIONAL INEQUALITY AND EQUILIBRIUM PROBLEMS.基础数学,2009-04.
4杨明歌;黄南京. Existence results for generalized vector equilibrium problems with applications.力学,2014-07.
5韦忠礼. PERIODIC BOUNDARY VALUE PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES.基础数学,1997-01.
6Liu-chuanZeng. Iterative　Algorithm　for　Finding　Approximate　Solutions　of　a　Class　of　Mixed　Variational-like　Inequalities.基础数学,2004-03.
7LIUXINZHI;GUODAJUN. PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES.基础数学,1998-04.
8Jingni Ye. WEAK AND STRONG CONVERGENCE THEOREMS FOR SPLIT GENERALIZED MIXED EQUILIBRIUM PROBLEM.基础数学,2016-01.
9LONG Xianjun. SUFFICIENCY AND DUALITY FOR NONSMOOTH MULTIOBJECTIVE PROGRAMMING PROBLEMS INVOLVING GENERALIZED UNIVEX FUNCTIONS.系统科学,2013-06.
10Jinliang Shen;Jianhua Huang. HYBRID ITERATION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS.基础数学,2017-01.

Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces

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Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces

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