We provide a generalization of multiplier rules for infinite-dimensional optimization problems with a finite number of inequality constraints and with a finite number of inequality and equality constraints. Our assumptions on the differentiability of the functions are weaker than those of existing results.

中文翻译：

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无限维优化问题的乘法规则的推广

我们为具有有限数量的不等式约束以及有限数量的不等式和等式约束的无限维优化问题提供了乘数规则的概括。我们对函数可微性的假设比现有结果的假设弱。