A general iterative approach to variational inequality problems and optimization problems.

Jung, Jong Soo

Displaying similar documents to “A general iterative approach to variational inequality problems and optimization problems.”

A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.

Jung, Jong Soo (2010)

Journal of Inequalities and Applications [electronic only]

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Strong convergence of a modified iterative algorithm for mixed-equilibrium problems in Hilbert spaces.

Gao, Xueliang, Guo, Yunrui (2008)

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Convergence of iterative sequences for fixed point and variational inclusion problems.

Yu, Li, Liang, Ma (2011)

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Some iterative methods for solving equilibrium problems and optimization problems.

He, Huimin, Liu, Sanyang, Fan, Qinwei (2010)

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A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.

Peng, Jian-Wen, Wu, Soon-Yi, Yao, Jen-Chih (2010)

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A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.

Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih (2008)

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Iterative algorithms for nonexpansive mappings.

Liou, Yeong-Cheng, Yao, Yonghong (2008)

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An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems

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.