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

doi:10.1007/s10483-014-1832-9

Abstract

Abstract: 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.

Key words: generalized mixed equilibrium problem (GMEP), bilevel generalized mixed equilibrium problem (BGMEP), monotonicity, minimax inequality, topological vector space

2010 MSC Number:

O177.91
O224

Xie-ping DING . Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 925-934.

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