%0 Journal Article %T Existence of Solutions to Systems of Equilibrium Problems Without Monotonicity
不具单调性的均衡系统问题的解的存在性 %A FANG E-Beng %A HUANG Na-Jing %A
方亚平 %A 黄南京 %J 数学物理学报(A辑) %D 2005 %I %X In this paper, the authors introduce and study systems of equilibrium problems without monotonicity. By using Brouwer fixed point theorem, the authors obtain an existence theorem in the setting of finite dimensional spaces. In the case of infinite dimensional spaces, the authors introduce the definition of (S)- condition for a family of functions and prove the existence of solutions to systems of equilibrium problems based on (S)- conditions. %K System of equilibrium problems %K System of variational inequalities %K (S)-_ %K condition %K Existence
均衡系统 %K 变分不等式系统 %K (S)+-条件 %K 存在性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=640867744E6196CD&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=50FF665B2730AEEC&eid=CA122BD5B2FF2137&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=1&reference_num=20