一类向量变分不等式解的存在性研究
Existence of Solutions for a Class of Vector Variational Inequalities
DOI: 10.12677/pm.2025.158217, PDF,   
作者: 张琦霞：成都理工大学数学科学学院，四川 成都
关键词: 向量变分不等式；KKM原理；存在性；Vector Variational Inequality； KKM Principle； Existence
摘要: 向量变分不等式作为重要的数学工具，在交通、能源与资源调度等领域中具有广泛应用。本文针对一类有限维空间上的经典向量变分不等式，借助KKM原理证明了在不同条件下其解的存在性，并将该模型应用于城市地铁多线路调度优化问题。
Abstract: The vector variational inequality, as an important mathematical tool, has found wide applications in fields such as transportation, energy, and resource scheduling. This paper investigates a class of classical vector variational inequalities defined in finite-dimensional spaces. By employing the KKM principle, we establish the existence of solutions under various conditions. Furthermore, we apply the proposed model to optimize the scheduling of multiple lines in an urban subway system.
文章引用：张琦霞. 一类向量变分不等式解的存在性研究[J]. 理论数学, 2025, 15(8): 32-37. https://doi.org/10.12677/pm.2025.158217

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