A modification of Extragradient method for solving fixed point, variational inequality, and equilibrium problems without the monotonicity

Thidaporn Seangwattana · Thai Journal of Mathematics · 2021

The propose of this work is to modify an Extragradient method (in [2]) for finding a common solution of fixed point, variational inequality, and equilibrium problems without the monotone assumption of a bifunction in a Hilbert space. A weak convergence theorem is presented by the proposed method. When reducing some mappings in the method, it can find solutions of various problems without the monotonicity of a bifunction.

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