A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming

Document Type: بنیادی - نظری

Author

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

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, ‎and properly efficient solutions of the problem utilizing this new gap function‎. ‎Our results are based on $(\Phi,\rho)-$invexity‎, ‎defined by Clarke subdifferential.

Keywords


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