In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems

Hamed Soroush

Volume 8, Issue 2 , December 2023, , Pages 49-61

https://doi.org/10.30473/coam.2023.65902.1218

Abstract
  This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints‎. ‎Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and sufficient conditions for (weakly‎, ‎properly) ...  Read More

Linearization and Gap Function in Nonsmooth Quasiconvex Optimization Using Incident Subdifferential

Hamed Soroush

Volume 7, Issue 1 , January 2022, , Pages 79-92

https://doi.org/10.30473/coam.2022.63088.1196

Abstract
  The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space‎. First‎, ‎we introduce two linear optimization problems with the same optimal ...  Read More

Topological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data

Hamed Soroush

Volume 5, Issue 2 , July 2020, , Pages 83-91

https://doi.org/10.30473/coam.2021.59584.1165

Abstract
  In this paper‎, ‎we study nonsmooth optimization problems with quasiconvex functions using topological subdifferential‎. ‎We present some necessary and sufficient optimality conditions and characterize topological pseudoconvex functions‎. ‎Finally‎, ‎the Mond-Weir type ...  Read More