Modified Inertial Subgradient Extragradient Algorithms For Variational Inequalities And Fixed Point Problems

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS(2021)

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摘要
In this paper, we propose a modified subgradient extragradient algorithm with self-adaptive and inertial methods for solving the variational inequality involving monotone operator and the fixed point problem of a quasi-nonexpensive operator in a real Hilbert space. The weak convergence theorem of the proposed method has been proved.
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关键词
Modified subgradient extragradient algorithm, self-adaptive method, inertial method, variational inequality, fixed point, quasi-nonexpansive mapping
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