Gap Functions and Existence of Solutions for a System of Vector Equilibrium Problems

N. J. Huang, J. Li and J. C. Yao ()
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N. J. Huang: Sichuan University
J. Li: China West Normal University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 2, No 5, 212 pages

Abstract: Abstract In this paper, a gap function for a system of vector equilibrium problems is introduced and studied. Some necessary and sufficient conditions for the system of vector equilibrium problems are established. Characterizations of the solutions set for the system of vector equilibrium problems are also derived. Furthermore, some existence results of solutions for the system of vector equilibrium problems are proved.

Keywords: Systems of vector equilibrium problems; Gap functions; Convex cones; Point-to-set mappings (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-007-9202-4

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