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

By Xiaopeng Zhao, Yonghong Yao. Optimization, 2020

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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 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.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9086d85377ac9fea1b59847b8100cc14968958c1