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Generalized Symmetric Vector Quasiequilibrium Problems

Author

Listed:
  • M. Fakhar

    (University of Isfahan
    Institute for Studies in Theoretical Physics and Mathematics (IPM))

  • J. Zafarani

    (University of Isfahan and Sheikhbahaee University)

Abstract

We establish an existence result for scalar quasiequilibrium problems without any continuity requirement on noncompact subsets of locally convex topological vector spaces. As a consequence, we obtain a solution of symmetric scalar quasiequilibrium problem. Moreover, using a so-called nonlinear scalarization function, existence theorems for vector quasiequilibrium problems and general symmetric vector quasiequilibrium problems are obtained.

Suggested Citation

  • M. Fakhar & J. Zafarani, 2008. "Generalized Symmetric Vector Quasiequilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 136(3), pages 397-409, March.
    • Handle: RePEc:spr:joptap:v:136:y:2008:i:3:d:10.1007_s10957-007-9310-1
    DOI: 10.1007/s10957-007-9310-1
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    References listed on IDEAS

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