Optimality conditions via exact penalty functions

TL;DR

This paper derives optimality conditions for constrained optimization problems using exact penalty functions and the lower Hadamard derivative, providing a theoretical framework for analyzing such problems.

Contribution

It introduces a novel approach to establish optimality conditions via exact penalty functions and the lower Hadamard derivative for constrained problems.

Findings

Established optimality conditions using exact penalty functions.

Applied lower Hadamard derivative to characterize solutions.

Provided theoretical insights into constrained optimization.

Abstract

In this paper, we obtain optimality conditions for the problem with inequality, equality and closed set constraints in terms of the lower Hadamard derivative. The results are obtained applying exact penalty functions.