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<p>In this paper, we consider solution mappings of partially pseudomonotone and Lipschitz continuous variational inequality problems in a real Hilbert space. First, we propose new multivalued solution mappings and prove some facts on their quasicontractive properties. As an application of the solution mappings, by using Halpern iteration technique, we give a new iteration algorithm and establish strong convergence by choosing suitable parameters. Finally, numerical experiments are conducted to illustrate the efficiency of our algorithm.</p>

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Multivalued solution mappings of partially pseudomonotone variational inequality problems and applications

  • 期刊论文

  • 发表日期：

    2025年7月7日

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  • Ho Phi Tu,
  • Do Duy Thanh,
  • Pham Ngoc Anh,
  • Phan Thanh An

摘要

In this paper, we consider solution mappings of partially pseudomonotone and Lipschitz continuous variational inequality problems in a real Hilbert space. First, we propose new multivalued solution mappings and prove some facts on their quasicontractive properties. As an application of the solution mappings, by using Halpern iteration technique, we give a new iteration algorithm and establish strong convergence by choosing suitable parameters. Finally, numerical experiments are conducted to illustrate the efficiency of our algorithm.