An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on -accretive framework.
Li, Hong Gang, Xu, An Jian, Jin, Mao Ming (2010)
Fixed Point Theory and Applications [electronic only]
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Li, Hong Gang, Xu, An Jian, Jin, Mao Ming (2010)
Fixed Point Theory and Applications [electronic only]
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Onjai-Uea, Nawitcha, Kumam, Poom (2011)
Fixed Point Theory and Applications [electronic only]
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Yonghong Yao, Yeol Cho, Yeong-Cheng Liou (2011)
Open Mathematics
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In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear...
Cho, Yeol Je, Petrot, Narin (2010)
Journal of Inequalities and Applications [electronic only]
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Journal of Inequalities and Applications [electronic only]
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He, Huimin, Liu, Sanyang, Fan, Qinwei (2010)
Journal of Inequalities and Applications [electronic only]
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Plubtieng, Somyot, Sombut, Kamonrat (2010)
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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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.
Qin, X., Chang, S.S., Cho, Y.J., Kang, S.M. (2010)
Journal of Inequalities and Applications [electronic only]
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Jung, Jong Soo (2010)
Journal of Inequalities and Applications [electronic only]
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Yao, Yonghong, Liou, Yeong-Cheng, Wu, Yuh-Jenn (2009)
Fixed Point Theory and Applications [electronic only]
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Li, Yu, Wu, Changqun (2010)
Fixed Point Theory and Applications [electronic only]
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