Applied Mathematics and Mechanics

, Volume 27, Issue 11, pp 1451–1459 | Cite as

Generalized vector variational-type inequalities in FC-spaces

  • Fang Min  (方敏)
  • Ding Xie-ping  (丁协平)
Article
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Revised:
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Abstract

A class of generalized vector variational-type inequality problems (GVVTIP) are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems and generalized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP are established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.

Key words

generalized vector variational-type inequality F-KKM mapping F-Px-diagonally quasiconvex FC-space 

Chinese Library Classification

O255 O177.92 

2000 Mathematics Subject Classification

49J40 91B50 
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Copyright information

© Editorial Committee of Appl. Math. Mech. 2006

Authors and Affiliations

  • Fang Min  (方敏)
    • 1
  • Ding Xie-ping  (丁协平)
    • 2
  1. 1.College of MathematicsSichuan UniversityChengduP. R. China
  2. 2.College of Mathematics and Software ScienceSichuan Normal UniversityChengduP. R. China

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