3 papers
math.OC2025
Radial Epiderivative Based Fritz John and KKT Conditions in Nonsmooth Nonconvex Optimization
Refail Kasimbeyli, Jian-Wen Peng, Jen-Chih Yao
In this study, we examine Fritz John (FJ) and Karush-Kuhn-Tucker (KKT) type optimality conditions for a class of nonsmooth and nonconvex optimization problems with inequality const…
math.OC2025
Radial Epiderivative Based Line Search Methods in Nonconvex and Nonsmooth Box-Constrained Optimization
Refail Kasimbeyli, Gulcin Dinc Yalcin, Gazi Bilal Yildiz +1
In this paper, we develop a novel radial epiderivative-based line search methods for solving nonsmooth and nonconvex box-constrained optimization problems. The rationale for employ…
math.OC2022
On radially epidifferentiable functions and regularity conditions in nonconvex optimization
Gulcin Dinc Yalcin, Refail Kasimbeyli
In this paper we study the radial epiderivative notion for nonconvex functions, which extends the (classical) directional derivative concept. The paper presents new definition and…