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On generalized implicit vector variational inequality problems

Author

Listed:
  • A. P. Farajzadeh

    (Razi University)

  • A. Amini-Harandi

    (University of Shahrekord)

Abstract

In this paper, we introduce and study the generalized implicit vector variational inequality problems with set valued mappings in topological vector spaces. We establish existence theorems for the solution set of these problems be nonempty compact and convex. Our results extend the results by Fang and Huang [ Existence results for generalized implicit vector variational inequalities with multivalued mappings, Indian J. Pure and Appl. Math. 36(2005), 629–640.]

Suggested Citation

  • A. P. Farajzadeh & A. Amini-Harandi, 2011. "On generalized implicit vector variational inequality problems," Indian Journal of Pure and Applied Mathematics, Springer, vol. 42(2), pages 127-140, April.
    • Handle: RePEc:spr:indpam:v:42:y:2011:i:2:d:10.1007_s13226-011-0008-6
    DOI: 10.1007/s13226-011-0008-6
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    References listed on IDEAS

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    1. M. Bianchi & R. Pini, 2005. "Coercivity Conditions for Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 124(1), pages 79-92, January.
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