System of Vector Equilibrium Problems and Its Applications

Q. H. Ansari, S. Schaible and J. C. Yao
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Q. H. Ansari: Aligarh Muslim University
S. Schaible: University of California
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 3, No 6, 547-557

Abstract: 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 (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (9)

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DOI: 10.1023/A:1026495115191

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