Inverse and implicit function theorems for H -differentiable and semismooth functions
M. Seetharama Gowda
Abstract
M. Seetharama Gowda
Abstract
In this article, we prove inverse and implicit function theorems for H-differentiable functions, thereby giving a unified treatment of such theorems for C 1-functions, PC 1-functions, and for locally Lipschitzian functions. We also derive inverse and implicit function theorems for semismooth functions.
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In this article, we prove inverse and implicit function theorems for H-differentiable functions, thereby giving a unified treatment of such theorems for C 1-functions, PC 1-functions, and for locally Lipschitzian functions. We also derive inverse and implicit function theorems for semismooth functions.
Key concepts: Differentiable function, Inverse, Inverse function, Inverse function theorem, Mathematics, Implicit function theorem, Function (biology), Pure mathematics