On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

<p/> <p>We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theorem by using Kakutani-Fan-Glicksberg fixed-point theorem and discuss the...

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Bibliographic Details
Main Authors: Plubtieng Somyot, Sitthithakerngkiet Kanokwan
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/475121
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Summary:<p/> <p>We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theorem by using Kakutani-Fan-Glicksberg fixed-point theorem and discuss the closedness of strong solution set for the system of generalized strong vector quasiequilibrium problem. The results presented in the paper improve and extend the main results of Long et al. (2008).</p>
ISSN:1687-1820
1687-1812