Title of article :
Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems
Author/Authors :
Hassani Bafrani, Atefeh Department of Mathematics - Payame Noor University , Sadeghieh, Ali Department of Mathematics - Yazd branch - Islamic Azad University
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 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.
Keywords :
Multiobjective optimization , Semi-Infinite Programming , Gap function , Clarke subdifferential
