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-  2018 

分层混合均衡问题和不动点问题的等价性
The Equivalence of Split Mixed Equilibrium Problems and Fixed Point Problems

DOI: 10.13718/j.cnki.xdzk.2018.08.015

Keywords: 分层混合均衡问题, 不动点, 等价关系, Hilbert空间
split mixed equilibrium problem
, fixed point, equivalence relation, Hilbert space

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Abstract:

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.
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

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