Abstract

Properties of the approximate rotation of vector fields generated by multivalued maps of monotone type are studied. Analogs of the Hopf theorems on the extension of multivalued maps without singular points and homotopy classification of the corresponding vector fields are proved. Applications to variational inequalities and operator inclusions are outlines.

中文翻译：

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Hopf定理的变分不等式和类比

摘要

研究了由单调类型的多值映射生成的矢量场的近似旋转特性。证明了在无奇异点的多值映射扩展上的霍普夫定理的类似物以及相应矢量场的同伦分类。概述了变分不等式和算子包含的应用。