# On estimating the regular normal cone to constraint systems and stationarity conditions

## TL;DR

This paper introduces two new methods for estimating the regular normal cone in constraint systems and proposes a stronger stationarity concept, enhancing the derivation of necessary optimality conditions in mathematical programming.

## Contribution

It presents novel approaches and a new stationarity concept that improve the analysis of constraint systems in optimization.

## Key findings

- Two novel approaches for estimating the regular normal cone
- Introduction of a stronger stationarity concept than M-stationarity
- Application to three classes of mathematical programs

## Abstract

Estimating the regular normal cone to constraint systems plays an important role for the derivation of sharp necessary optimality conditions. We present two novel approaches and introduce a new stationarity concept which is stronger than M-stationarity. We apply our theory to three classes of mathematical programs frequently arising in the literature.