A mu-differentiable Lagrange multiplier rule

TL;DR

This paper explores properties of mu-differentiable functions and demonstrates how the Lagrange multiplier method can be applied within this context, extending classical optimization techniques.

Contribution

It introduces the concept of mu-differentiability and applies the Lagrange multiplier rule to this new class of functions, providing a theoretical extension.

Findings

Properties of the gradient of mu-differentiable functions

Application of Lagrange multipliers to mu-differentiable functions

Extension of classical optimization methods

Abstract

We present some properties of the gradient of a mu-differentiable function. The Method of Lagrange Multipliers for mu-differentiable functions is then exemplified.