MATHEMATICS

About the function of the exact penalty in normed space

M. A. Sadygov

Baku State University, Baku, Azerbaijan

Abstract: The class $S - (\alpha,\beta,\nu,\delta,\omega)$ of Lipschitz mappings at a point is investigated. Classes of mappings satisfying the $S - (\alpha,\beta,\nu,\delta,\omega)$ Lipschitz condition at a point are given. In the work, using $S - (\alpha,\beta,\nu,\delta,\omega)$ Lipschitz mappings at a point, extremal problems with constraints are investigated. Using the distance function in a mathematical programming problem, theorems on a high-order exact penalty are obtained.

Keywords: exact penalty, normed space, mapping, Lipschitz function.

UDC: 517.9

Received: 20.01.2024
Accepted: April 10, 2025

DOI: 10.17223/19988621/94/4