Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces

被引:0
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作者
Xie-ping Ding
机构
[1] Sichuan Normal University,College of Mathematics and Software Science
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关键词
generalized mixed equilibrium problem (GMEP); bilevel generalized mixed equilibrium problem (BGMEP); monotonicity; minimax inequality; topological vector space; O177.91; O224; 49J53; 49J40; 91B50; 90C48; 91B50;
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摘要
A new bilevel generalized mixed equilibrium problem (BGMEP) is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field.
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页码:925 / 934
页数:9
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