Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems

Document Type : بنیادی - نظری


1 Department of Mathematics‎, ‎Payame Noor University, P.O‎. ‎Box‎, ‎19395-3697‎, ‎Tehran‎, ‎Iran.

2 Department of Mathematics, Yazd branch, Islamic Azad University, Yazd, Iran



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.


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