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Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications

Author

Listed:
  • Zhong-bao Wang

    (Southwest Jiaotong University
    University of Electronic Science and Technology of China)

  • Yi-bin Xiao

    (University of Electronic Science and Technology of China)

  • Zhang-you Chen

    (Southwest Jiaotong University)

Abstract

The present paper is devoted to building degree theory for a generalized mixed quasi-variational inequality in finite dimensional spaces. Then, by employing the obtained results, we prove the existence and stability of solutions to the considered generalized mixed quasi-variational inequality.

Suggested Citation

  • Zhong-bao Wang & Yi-bin Xiao & Zhang-you Chen, 2020. "Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 43-64, October.
    • Handle: RePEc:spr:joptap:v:187:y:2020:i:1:d:10.1007_s10957-020-01748-0
    DOI: 10.1007/s10957-020-01748-0
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    References listed on IDEAS

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    1. Ren-you Zhong & Zhen Dou & Jiang-hua Fan, 2015. "Degree Theory and Solution Existence of Set-Valued Vector Variational Inequalities in Reflexive Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 527-549, November.
    2. Kien, B.T. & Wong, M.-M. & Wong, N.C. & Yao, J.C., 2009. "Degree theory for generalized variational inequalities and applications," European Journal of Operational Research, Elsevier, vol. 192(3), pages 730-736, February.
    3. Francisco Facchinei & Christian Kanzow, 2010. "Generalized Nash Equilibrium Problems," Annals of Operations Research, Springer, vol. 175(1), pages 177-211, March.
    4. Zhong Wang & Nan Huang, 2011. "Degree theory for a generalized set-valued variational inequality with an application in Banach spaces," Journal of Global Optimization, Springer, vol. 49(2), pages 343-357, February.
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