Topological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data

Author(s):

Hamed Soroush

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:5 Issue: 2, Summer-Autumn 2020
Pages:
83 to 91
https://www.magiran.com/p2408405