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

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