In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems

Atefeh Hassani Bafrani; Ali Sadeghieh

Volume 3, Issue 2 , January 2018, , Pages 1-12

https://doi.org/10.30473/coam.2020.50781.1133

Abstract
  In this paper‎, ‎we introduce and study some new single-valued gap functions for non-differentiable semi-infinite multiobjective optimization problems with locally Lipschitz data‎. ‎Since one of the fundamental properties of gap function for optimization problems is its abilities in characterizing ...  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