A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings.
Klin-Eam, Chakkrid, Suantai, Suthep (2009)
Journal of Inequalities 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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Li, Yu, Wu, Changqun (2010)
Fixed Point Theory 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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Yao, Yonghong, Noor, Muhammad Aslam, Mohyud-Din, Syed Tauseef (2009)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Wang, Shenghua, Marino, Giuseppe, Wang, Fuhai (2010)
Fixed Point Theory and Applications [electronic only]
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Su, Yongfu, Qin, Xiaolong (2006)
International Journal of Mathematics and Mathematical Sciences
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Liou, Yeong-Cheng, Yao, Yonghong, Chen, Rudong (2007)
Fixed Point Theory and Applications [electronic only]
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Cianciaruso, Filomena, Marino, Giuseppe, Muglia, Luigi, Zhou, Haiyun (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Ungchittrakool, Kasamsuk (2010)
Abstract and Applied Analysis
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Qin, Xiaolong, Wu, Changqun, Shang, Meijuan (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Piri, Husain, Vaezi, Hamid (2010)
Fixed Point Theory and Applications [electronic only]
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Shang, Meijuan, Su, Yongfu, Qin, Xiaolong (2007)
Fixed Point Theory and Applications [electronic only]
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