Print ISSN: 2204-1990

Online ISSN: 1323-6903

Keywords : Locally Lipschitz functions


Some results related to constrained non-differentiable (non-smooth) pseudolinear minimization problems

RAJNISH KUMAR DWIVEDI; ANIL PATHAK

Journal of Contemporary Issues in Business and Government, 2021, Volume 27, Issue 3, Pages 1480-1486
DOI: 10.47750/cibg.2021.27.03.199

This paper deals with the minimization of a class of non-differentiable (non-smooth) pseudolinear functions over a closed and convex set subject to linear inequality constraints. The properties of locally Lipschitz pseudolinear functions are used to establish several Lagrange multiplier characterizations of the solution set of the minimization problem. We derive certain conditions, under which an efficient solution becomes a properly efficient solution of a constrained non-differentiable minimization problem.