Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators
Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators
Author(s): A. Kabgani & M. Soleimani-damaneh
Year: 2019
Title: Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators
Journal: Pacific Journal of Optimization
Volume: 15
Pages: 399-413
Link: http://www.yokohamapublishers.jp/online2/oppjo/vol15/p399.html
Cite this article
Kabgani, A., Soleimani-damaneh, M.: Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators. Pacific Journal of Optimization 15 (2019), 399-413.
http://www.yokohamapublishers.jp/online2/oppjo/vol15/p399.html
Abstract
In this paper, KKT optimality conditions, for a nonsmooth optimization problem with a locally star-shaped feasible set and a semilocally convex objective function, are investigated. The appearing functions are not necessarily convex/locally Lipschitz/continuous. The optimality conditions are derived in terms of convexificators, after studying nonsmooth constraint qualification conditions. The results of the present paper extend some corresponding ones existing in the literature.