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Stampacchia Generalized Vector Quasiequilibrium Problems and Vector Saddle Points

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  • J. Y. Fu

    (Nanchang University)

Abstract

In this paper, Stampacchia generalized vector quasiequilibrium problem and generalized vector loose saddle points for set-valued mappings are introduced. By using the scalarization method and the fixed-point theorem, existence theorems are established.

Suggested Citation

  • J. Y. Fu, 2006. "Stampacchia Generalized Vector Quasiequilibrium Problems and Vector Saddle Points," Journal of Optimization Theory and Applications, Springer, vol. 128(3), pages 605-619, March.
    • Handle: RePEc:spr:joptap:v:128:y:2006:i:3:d:10.1007_s10957-006-9034-7
    DOI: 10.1007/s10957-006-9034-7
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    References listed on IDEAS

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    1. Q. Ansari & W. Oettli & D. Schläger, 1997. "A generalization of vectorial equilibria," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 46(2), pages 147-152, June.
    2. J. Fu, 1997. "Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 93(1), pages 141-151, April.
    3. Jun-Yi Fu & An-Hua Wan, 2002. "Generalized vector equilibrium problems with set-valued mappings," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 259-268, November.
    4. Q.H. Ansari & I.V. Konnov & J.C. Yao, 2002. "Characterizations of Solutions for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 435-447, June.
    5. M. Bianchi & N. Hadjisavvas & S. Schaible, 1997. "Vector Equilibrium Problems with Generalized Monotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 527-542, March.
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    Cited by:

    1. Pham Huu Sach & Le Anh Tuan, 2022. "Existence of Solutions of Bifunction-Set Optimization Problems in Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 192(1), pages 195-225, January.
    2. Adela Elisabeta Capătă, 2024. "Generalized Vector Quasi-Equilibrium Problems," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    3. Pham Huu Sach, 2018. "Solution Existence in Bifunction-Set Optimization," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 1-16, January.

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