2004Optimization methods & softwareRequires access

Inverse and implicit function theorems for H -differentiable and semismooth functions

M. Seetharama Gowda

Open publisher page 51 citations

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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What this paper is about

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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OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Differentiable function, Inverse, Inverse function, Inverse function theorem, Mathematics, Implicit function theorem, Function (biology), Pure mathematics

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