In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Control and Optimization
On Constraint Qualifications and Optimality Conditions in‎ ‎Nonsmooth Semi-infinite Optimization

Atefeh Hassani Bafrani

Volume 9, Issue 2 , December 2024, , Pages 53-66

https://doi.org/10.30473/coam.2024.69322.1247

Abstract
  The primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs). We focus on defining novel algebraic Mangasarian-Fromovitz type constraint qualifications, and on presenting ...  Read More

Control and Optimization
Abadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems

Ahmad Rezaee

Volume 9, Issue 2 , December 2024, , Pages 173-186

https://doi.org/10.30473/coam.2024.72301.1261

Abstract
  This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker‎ ‎for both weakly efficient solutions and efficient solutions of a nonsmooth multi-objective semi-infinite programming problem characterized by locally Lipschitz ...  Read More

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

A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming

Ahmad Rezayi

Volume 3, Issue 2 , January 2018, , Pages 13-26

https://doi.org/10.30473/coam.2019.45495.1110

Abstract
  For a nonsmooth multiobjective mathematical programming problem governed by infinitely many constraints‎, ‎we define a new gap function that generalizes the definitions of this concept in other articles‎. ‎Then‎, ‎we characterize the efficient‎, ‎weakly efficient‎, ...  Read More