A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.
Wang, Shenghua, Cho, Yeol Je, Qin, Xiaolong (2010)
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Wang, Shenghua, Cho, Yeol Je, Qin, Xiaolong (2010)
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Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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.
Yao, Yonghong, Liou, Yeong-Cheng (2008)
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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Journal of Inequalities and Applications [electronic only]
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Liu, Li, Gu, Guanghui, Su, Yongfu (2010)
Journal of Inequalities and Applications [electronic only]
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