2010Journal of Inequalities and ApplicationsOpen access

An Iterative Scheme with a Countable Family of Nonexpansive Mappings for Variational Inequality Problems in Hilbert Spaces

Yeol Je Cho, Shenghua Wang

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Abstract

We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.

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We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.

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Available abstract

We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.

Key concepts: Mathematics, Hilbert space, Variational inequality, Countable set, Convergence (economics), Scheme (mathematics), Pure mathematics, Discrete mathematics

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