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System of Vector Equilibrium Problems and Its Applications

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Abstract

In this paper, we introduce a system of vector equilibrium problems andprove the existence of a solution. As an application, we derive someexistence results for the system of vector variational inequalities. We alsoestablish some existence results for the system of vector optimizationproblems, which includes the Nash equilibrium problem as a special case.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Q. H. Ansari (Reader)

  2. A. G. Anderson Graduate School of Management, University of California, Riverside, California

    S. Schaible (Professor)

  3. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC

    J. C. Yao (Professor)

Authors
  1. Q. H. Ansari
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  2. S. Schaible
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  3. J. C. Yao
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Ansari, Q.H., Schaible, S. & Yao, J.C. System of Vector Equilibrium Problems and Its Applications. Journal of Optimization Theory and Applications 107, 547–557 (2000). https://doi.org/10.1023/A:1026495115191

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  • DOI: https://doi.org/10.1023/A:1026495115191

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