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

Characterization of Properly Efficient Solutions for Convex Multiobjective Programming with Nondifferentiable vanishing constraints

Javad Shaker Ardakani; shahriar Farahmand Rad; Nader Kanzi

Volume 3, Issue 2 , January 2018, , Pages 49-58

https://doi.org/10.30473/coam.2019.42442.1094

Abstract
  This paper studies the convex multiobjective optimization problem with vanishing constraints‎. ‎We introduce a new constraint qualification for these problems‎, ‎and then a necessary optimality condition for properly efficient solutions is presented‎. ‎Finally by imposing some ...  Read More