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<p>In this paper, we present a new projection method aimed to solve the variational inequalities problem. Unlike existing algorithms within the same family, our approach incorporates a distinct line search step and a novel strategy for determining the step size used in the computation of the sequence generated by the associated algorithm. These enhancements enable the development of a robust algorithm whose global convergence is proven under weak assumptions. Furthermore, the encouraging results derived from the comparative numerical study highlight the effectiveness of the proposed algorithm.</p>

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An improved double projection algorithm for solving variational inequalities

  • 期刊论文

  • 发表日期：

    2026年3月17日

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  • Hassina Grar,
  • Zahira Kebaili

摘要

In this paper, we present a new projection method aimed to solve the variational inequalities problem. Unlike existing algorithms within the same family, our approach incorporates a distinct line search step and a novel strategy for determining the step size used in the computation of the sequence generated by the associated algorithm. These enhancements enable the development of a robust algorithm whose global convergence is proven under weak assumptions. Furthermore, the encouraging results derived from the comparative numerical study highlight the effectiveness of the proposed algorithm.