On the symmetric vector quasi-equilibrium problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:322

Article

Farajzadeh, Ali P.

关键词: symmetric vector quasi-equilibrium problem;    properly quasi-convex;    acyclic map;    admissible set;   

DOI  :  10.1016/j.jmaa.2005.09.079

来源: Elsevier

【 摘 要 】

In this paper we, using a particular technique, consider the symmetric vector quasi-equilibrium problems in the Hausdorff topological vector space. As applications of our existence theorem, a coincidence point theorem and the existence of vector optimization problem for a pair of vector-valued mappings are obtained. Moreover, we answer an open question raised by Fu in [J.Y. Fu, Symmetric vector quasi-equilibrium problems, J. Math. Anal. Appl. 285 (2003) 708-713]. (c) 2005 Elsevier Inc. All rights reserved.

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