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Journal of Function Spaces and Applications
Volume 2013, Article ID 374268, 5 pages
Research Article

Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand

Received 28 May 2013; Accepted 1 August 2013

Academic Editor: Sompong Dhompongsa

Copyright © 2013 Wutiphol Sintunavarat. 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 the class of mixed equilibrium problems with the weakly relaxed α-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α-monotone bi-function in Banach spaces. The results presented in this paper extend and improve the corresponding results in the existing literature.