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http://dx.doi.org/10.4134/BKMS.2013.50.1.025

NONEMPTY INTERSECTION THEOREMS AND SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN FC-SPACES  

He, Rong-Hua (Department of Mathematics Chengdu University of Information Technology)
Li, Hong-Xu (Department of Mathematics Sichuan University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 25-36 More about this Journal
Abstract
By using some existence theorems of maximal elements for a family of set-valued mappings involving a better admissible set-valued mapping under noncompact setting of FC-spaces, we present some non-empty intersection theorems for a family $\{G_i\}_{i{\in}I}$ in product FC-spaces. Then, as applications, some new existence theorems of equilibrium for a system of generalized vector equilibrium problems are proved in product FC-spaces. Our results improve and generalize some recent results.
Keywords
maximal element; nonempty intersection theorem; system of generalized vector equilibrium problems; product FC-space;
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