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Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces

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  • X. Ding
  • Y. Liou
  • J. Yao

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  • X. Ding & Y. Liou & J. Yao, 2012. "Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces," Journal of Global Optimization, Springer, vol. 53(2), pages 331-346, June.
    • Handle: RePEc:spr:jglopt:v:53:y:2012:i:2:p:331-346
    DOI: 10.1007/s10898-011-9712-3
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    References listed on IDEAS

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    1. X. P. Ding, 2005. "Existence of Solutions and an Algorithm for Mixed Variational-Like Inequalities in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 127(2), pages 285-302, November.
    2. L. C. Zeng & S. Schaible & J. C. Yao, 2005. "Iterative Algorithm for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 725-738, March.
    3. Abdellatif Moudafi, 2010. "Proximal methods for a class of bilevel monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 47(2), pages 287-292, June.
    4. L. J. Lin, 2008. "Existence Theorems for Bilevel Problem with Applications to Mathematical Program with Equilibrium Constraint and Semi-Infinite Problem," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 27-40, April.
    5. X. P. Ding, 2010. "Auxiliary Principle and Algorithm for Mixed Equilibrium Problems and Bilevel Mixed Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 146(2), pages 347-357, August.
    6. Birbil, S.I. & Bouza, G. & Frenk, J.B.G. & Still, G., 2006. "Equilibrium constrained optimization problems," European Journal of Operational Research, Elsevier, vol. 169(3), pages 1108-1127, March.
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