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

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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.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China

    Xie-ping Ding  (丁协平)

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  1. Xie-ping Ding  (丁协平)
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Correspondence to Xie-ping Ding  (丁协平).

Additional information

Project supported by the Scientific Research Fund of Sichuan Normal University (No. 11ZDL01) and the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

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Ding, Xp. Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces. Appl. Math. Mech.-Engl. Ed. 35, 925–934 (2014). https://doi.org/10.1007/s10483-014-1832-9

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  • DOI: https://doi.org/10.1007/s10483-014-1832-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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