p-Regularity Theory. Tangent Cone Description in the Singular Case
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We present a new proof of the theorem which is one of the main results of the p-regularity theory. This gives us a detailed description of the structure of the zero set of a singular nonlinear mapping. We say that F : X → Y is singular at some point x 0 , where X and Y are Banach spaces, if ImF′(x 0) ≠ Y. Otherwise, the mapping F is said to be regular.
KeywordsBanach Space Implicit Function Theorem Regularity Theory Singular Case Linear Manifold
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