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Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems

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In this paper, we investigate the monotone variational inequalities and fixed point problems in Hilbert spaces. Two modified extragradient algorithms are presented for finding a common element of the set… Click to show full abstract

In this paper, we investigate the monotone variational inequalities and fixed point problems in Hilbert spaces. Two modified extragradient algorithms are presented for finding a common element of the set of fixed points of a pseudocontractive operator and the set of solutions of the variational inequality problem. Weak and strong convergence of the suggested algorithms are proved.

Keywords: modified extragradient; inequalities fixed; point problems; variational inequalities; monotone variational; fixed point

Journal Title: Optimization
Year Published: 2020

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