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

Author: Huang N.   Li J.   Yao J.  

Publisher: Springer Publishing Company

ISSN: 0022-3239

Source: Journal of Optimization Theory and Applications, Vol.133, Iss.2, 2007-05, pp. : 201-212

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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.