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Existence Theorems for Systems of Generalized Vector Quasiequilibrium Problems and Optimization Problems

Author

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  • L. J. Lin

    (National Changhua University of Education)

  • Y. H. Liu

    (National Changhua University of Education)

Abstract

In this paper, we use existence theorems for the equilibria of generalized abstract economies proved recently to establish existence theorems for systems of generalized vector quasiequilibrium problems. Then, these existence theorems for equilibrium problems are used to derive existence theorems for systems of generalized vector quasivariational-like inequality problems, and vector quasioptimization problems.

Suggested Citation

  • L. J. Lin & Y. H. Liu, 2006. "Existence Theorems for Systems of Generalized Vector Quasiequilibrium Problems and Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 130(3), pages 463-477, September.
    • Handle: RePEc:spr:joptap:v:130:y:2006:i:3:d:10.1007_s10957-006-9112-x
    DOI: 10.1007/s10957-006-9112-x
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    References listed on IDEAS

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    1. Q. H. Ansari & S. Schaible & J. C. Yao, 2000. "System of Vector Equilibrium Problems and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 107(3), pages 547-557, December.
    2. L.J. Lin & Q.H. Ansari & J.Y. Wu, 2003. "Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 121-137, April.
    3. S. H. Hou & H. Yu & G. Y. Chen, 2003. "On Vector Quasi-Equilibrium Problems with Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 485-498, December.
    4. L. J. Lin & Z. T. Yu & G. Kassay, 2002. "Existence of Equilibria for Multivalued Mappings and Its Application to Vectorial Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 114(1), pages 189-208, July.
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    Cited by:

    1. Xie Ding, 2010. "New systems of generalized vector quasi-equilibrium problems in product FC-spaces," Journal of Global Optimization, Springer, vol. 46(1), pages 133-146, January.

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