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Journal of Function Spaces
Volume 2015, Article ID 135084, 6 pages
Research Article

Existence Results for New Weak and Strong Mixed Vector Equilibrium Problems on Noncompact Domain

1Department of Mathematics, Razi University, Kermanshah 67149, Iran
2Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
3Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand
4Research Center for Academic Excellence in Nonlinear Analysis and Optimizations, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 22 March 2015; Accepted 10 June 2015

Academic Editor: Tomonari Suzuki

Copyright © 2015 Ali Farajzadeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce and consider two new mixed vector equilibrium problems, that is, a new weak mixed vector equilibrium problem and a new strong mixed vector equilibrium problem which are combinations of certain vector equilibrium problems, and vector variational inequality problems. We prove existence results for the problems in noncompact setting.