%0 Journal Article %T 分层混合均衡问题和不动点问题的等价性<br>The Equivalence of Split Mixed Equilibrium Problems and Fixed Point Problems %A 闻道君 %A 张蓉 %A 宋树枝< %A br> %A WEN Dao-jun %A ZHANG Rong %A SONG Shu-zhi %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.08.015 %X 在Hilbert空间中,介绍了一类改进的混合均衡问题,并在适当条件下研究了混合均衡问题与不动点问题的等价关系,进一步建立了关于分层混合均衡问题解的一个充分必要条件.<br>In this paper, a class of modified mixed equilibrium problems is introduced in Hilbert space. The equivalence relation between the mixed equilibrium problems and a fixed point problem is studied under some suitable conditions. Moreover, a sufficient and necessary condition for the solution of modified split mixed equilibrium problems is established %K 分层混合均衡问题 %K 不动点 %K 等价关系 %K Hilbert空间< %K br> %K split mixed equilibrium problem %K fixed point %K equivalence relation %K Hilbert space %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/8/20180815.htm