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System of Vector Equilibrium Problems and Its Applications |
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| Authors: | Q. H. Ansari S. Schaible J. C. Yao |
| Affiliation: | (1) Department of Mathematics, Aligarh Muslim University, Aligarh, India;(2) A. G. Anderson Graduate School of Management, University of California, Riverside, California;(3) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC |
| 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. |
| Keywords: | system of vector equilibrium problems system of vector variational inequalities system of vector optimization problems Nash equilibrium problem fixed points |
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