%0 Journal Article %T Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems %J Control and Optimization in Applied Mathematics %I Payame Noor University (PNU) %Z 2383-3130 %A Hassani Bafrani, Atefeh %A Sadeghieh, Ali %D 2018 %\ 01/01/2018 %V 3 %N 2 %P 1-12 %! Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems %K Multiobjective optimization‎ %K ‎Semi-Infinite Programming‎ %K ‎Gap function‎ %K ‎Clarke subdifferential %R 10.30473/coam.2020.50781.1133 %X 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 the solutions of the problem in question‎, ‎then the essential properties of the newly introduced gap functions are established‎. ‎All results are given in terms of the Clarke subdifferential. %U https://mathco.journals.pnu.ac.ir/article_6718_5931fe972a6feb3c383122e430f01982.pdf