On a Generalization of a Normal Map and Equation
On a Generalization of a Normal Map and Equation
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DOI：
10.1137/s0363012992241673
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发表时间：
1995-01
影响因子：
2.2
通讯作者：
J. Pang;J. Yao
中科院分区：
文献类型：
--
作者：
J. Pang;J. Yao
最近罗宾逊和拉尔夫在研究定义在多面体集上的变分不等式时研究了正规映射类。本文考虑了这种映射的推广，并研究了相应的广义法方程。后者提供了几个广义变分不等式和互补问题的统一形式。利用度理论，建立了广义法映射零点存在的充分条件，并分析了广义法方程解的稳定性。专业化的结果，各种应用进行了讨论。
The class of normal maps was recently investigated by Robinson and Ralph in connection with the study of a variational inequality defined on a polyhedral set. In this paper a generalization of such a map is considered, and the associated generalized normal equation is studied. The latter provides a unified formulation of several generalized variational inequality and complementarity problems. Using degree theory, some sufficient conditions for the existence of a zero of a generalized normal map are established and the stability of a generalized normal equation at a solution is analyzed. Specializations of the results to various applications are discussed.