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<p>In this paper, we investigate a class of multidimensional Stampacchia vector variational inequality problems and use the monotonicity and hemicontinuity of the vector-valued functional to analyze their well-posedness and well-posedness in a generalized sense. In addition, we formulate multidimensional Minty vector variational inequality problem and establish an equivalence relationship between two well-posedness for Stampacchia and Minty vector variational inequality problems. Moreover, we derive the connection between two well-posedness for the multidimensional vector optimization problem and its associated Stampacchia vector variational inequality problem. Further, an illustrative application of the traffic network model of a city for food delivery is constructed to demonstrate the theoretical results.</p>

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Results on the well-posedness of multidimensional vector variational inequalities with application to traffic network

  • 期刊论文

  • 发表日期：

    2025年8月9日

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  • Anurag Jayswal,
  • Pallabi Samal

摘要

In this paper, we investigate a class of multidimensional Stampacchia vector variational inequality problems and use the monotonicity and hemicontinuity of the vector-valued functional to analyze their well-posedness and well-posedness in a generalized sense. In addition, we formulate multidimensional Minty vector variational inequality problem and establish an equivalence relationship between two well-posedness for Stampacchia and Minty vector variational inequality problems. Moreover, we derive the connection between two well-posedness for the multidimensional vector optimization problem and its associated Stampacchia vector variational inequality problem. Further, an illustrative application of the traffic network model of a city for food delivery is constructed to demonstrate the theoretical results.