Topological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data

نویسندگان
Soroush, Hamed ID 1

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

doi
10.30473/coam.2021.59584.1165
چکیده

In this paper‎, ‎we study nonsmooth optimization problems with quasiconvex functions using topological subdifferential‎. ‎We present some necessary and sufficient optimality conditions and characterize topological pseudoconvex functions‎. ‎Finally‎, ‎the Mond-Weir type weak and strong duality results are stated for the problems.

کلیدواژه‌ها
Quasiconvex optimization‎, ‎Duality theorems‎, ‎Optimality conditions‎, ‎Pseudoconvex‎, ‎Subdifferential