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An existence result for implicit vector variational inequality with multifunctions

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Publication:1431890
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DOI10.1016/S0893-9659(03)00019-3zbMath1096.49004OpenAlexW1985683453MaRDI QIDQ1431890

Gue Myung Lee, Jen-Chih Yao, Sangho Kum

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)00019-3


zbMATH Keywords

strong solutionexistence theoremimplicit vector variational inequality\(C(x)\)-quasi-convex-like multifunction


Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)


Related Items

Existence of solutions to general quasiequilibrium problems and applications



Cites Work

  • Unnamed Item
  • Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
  • On the generalized vector variational inequality problem
  • Generalized vector variational inequalities
  • On implicit vector variational inequalities
  • Generalized vector equilibrium problems with trifunctions
  • Fan's inequality for set-valued maps.
  • A Further Generalization of the Knaster-Kuratowski-Mazurkiewicz Theorem
  • Existence theorems for vector variational inequalities
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