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Existence results for generalized vector equilibrium problems with applications

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Abstract

By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the generalized vector equilibrium constraints under the mild conditions are also given. The results of this paper unify and improve the corresponding results in the previous literature.

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Authors and Affiliations

  1. Department of Mathematics, Luoyang Normal University, Luoyang, 471022, Henan Province, P. R. China

    Ming-ge Yang  (杨明歌)

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Nan-jing Huang  (黄南京)

Authors
  1. Ming-ge Yang  (杨明歌)
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  2. Nan-jing Huang  (黄南京)
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Corresponding author

Correspondence to Nan-jing Huang  (黄南京).

Additional information

Project supported by the Key Program of the National Natural Science Foundation of China (NSFC) (No. 70831005), the National Natural Science Foundation of China (Nos. 11171237, 11226228, and 11201214), the Science and Technology Program Project of Henan Province of China (No. 122300410256), and the Natural Science Foundation of Henan Education Department of China (No. 2011B110025)

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Yang, Mg., Huang, Nj. Existence results for generalized vector equilibrium problems with applications. Appl. Math. Mech.-Engl. Ed. 35, 913–924 (2014). https://doi.org/10.1007/s10483-014-1867-9

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  • DOI: https://doi.org/10.1007/s10483-014-1867-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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