Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERALIZED BI-QUASI-VARIATIONAL-LIKE INEQUALITIES ON NON-COMPACT SETS

  • Cho, Yeol Je (Department of Mathematics Education and RINS Gyeongsang National University) ;
  • Chowdhury, Mohammad S.R. (Department of Mathematics University of Management and Technology (UMT)) ;
  • Ha, Je Ai (Department of Mathematics Education and RINS Gyeongsang National University)
  • Received : 2017.01.01
  • Accepted : 2017.04.26
  • Published : 2017.10.31
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Abstract

In this paper, we prove some existence results of solutions for a new class of generalized bi-quasi-variational-like inequalities (GBQVLI) for (${\eta}-h$)-quasi-pseudo-monotone type I and strongly (${\eta}-h$)-quasi-pseudo-monotone type I operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. To obtain our results on GBQVLI for (${\eta}-h$)-quasi-pseudo-monotone type I and strongly (${\eta}-h$)-quasi-pseudo-monotone type I operators, we use Chowdhury and Tan's generalized version of Ky Fan's minimax inequality as the main tool.

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References

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