Journal of Systems Science and Complexity

, Volume 26, Issue 6, pp 978–990 | Cite as

Solvability of vector Ky Fan inequalities with applications

  • Jian Yu
  • Dingtao PengEmail author


This paper aims to study the solvability of vector Ky Fan inequalities and the compactness of its solution sets. For vector-valued functions with the cone semicontinuity and the cone quasiconvexity in infinite dimensional spaces, the authors prove some existence results of the solutions and the compactness of the solution sets. Especially, some results for the vector Ky Fan inequalities on noncompact sets are built and the compactness of its solution sets are also discussed. As applications, some existence theorems of the solutions of vector variational inequalities are obtained.


Compactness noncompact set solvability vector Ky Fan inequalities vector variational inequality 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.College of ScienceGuizhou UniversityGuiyangChina
  2. 2.School of ScienceBeijing Jiaotong UniversityBeijingChina

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