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<p>This work aims to provide some new conditions for approximating a solution of the variational inequality problem without monotonicity in a real Hilbert space. We obtain a weak convergence result of the proposed method that hasn’t been investigated before in the literature. Our results improve and extend the relaxed inertial Tseng extragradient method for the class of nonlinear mappings without using any monotonicity.</p>

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Some New Conditions for Solving Variational Inequalities Without Monotonicity

  • 期刊论文

  • 发表日期：

    2025年5月25日

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  • Duong Viet Thong

摘要

This work aims to provide some new conditions for approximating a solution of the variational inequality problem without monotonicity in a real Hilbert space. We obtain a weak convergence result of the proposed method that hasn’t been investigated before in the literature. Our results improve and extend the relaxed inertial Tseng extragradient method for the class of nonlinear mappings without using any monotonicity.