Basic results for nonlinear operators are given. These results include nonlinear versions of the classical uniform boundedness theorem and Hahn-Banach theorem. Further, mappings of a metrizable space into another normed space can belong to some normed spaces if one defines suitable norms.

中文翻译：

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非线性算子理论的发展

给出了非线性算子的基本结果。这些结果包括经典一致有界性定理和Hahn-Banach定理的非线性形式。此外，如果一个人定义了合适的范数，则可度量空间到另一范数空间的映射可以属于某些范数空间。