Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming

Published 4 Apr 2018 in math.FA | (1804.01566v1)

Abstract: The paper is devoted to the implicit function theorem involving singular mappings.We also discuss the form of the tangent cone to the solution set of the generalized equations in singular case and give some examples of applications to nonlinear programming and complementarity problems.

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