An extragradient method for fixed point problems and variational inequality problems.
Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
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Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
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Gao, Xueliang, Guo, Yunrui (2008)
Journal of Inequalities and Applications [electronic only]
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Zuo, Zhanfei (2011)
International Journal of Mathematics and Mathematical Sciences
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Adrian Petruşel, Jen-Chih Yao (2009)
Open Mathematics
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In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.
Liu, M., Chang, S.S., Zuo, P. (2010)
Journal of Inequalities and Applications [electronic only]
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Cho, Sun Young, Kang, Shin Min (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Shang, Meijuan, Su, Yongfu, Qin, Xiaolong (2007)
Fixed Point Theory and Applications [electronic only]
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Li, Lihua, Li, Suhong, Su, Yongfu (2008)
Fixed Point Theory and Applications [electronic only]
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Kang, Shin Min, Cho, Sun Young, Liu, Zeqing (2010)
Journal of Inequalities and Applications [electronic only]
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Katchang, Phayap, Kumam, Wiyada, Humphries, Usa, Kumam, Poom (2011)
International Journal of Mathematics and Mathematical Sciences
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Jitpeera, Thanyarat, Witthayarat, Uamporn, Kumam, Poom (2011)
Fixed Point Theory and Applications [electronic only]
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Klin-Eam, Chakkrid, Suantai, Suthep (2009)
Journal of Inequalities and Applications [electronic only]
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Hao, Yan, Cho, Sun Young, Qin, Xiaolong (2010)
Journal of Inequalities and Applications [electronic only]
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