Strong Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming via Michel-Penot subdifferential
Michel-Penot SubdifferentialLê Thanh TùngT ChuongD KimT ChuongJ.-C YaoG CaristiN KanziN KanziS NobakhtianN KanziM GobernaF Guerra-VzquezM TodorovG CaristiM FerraraT MaedaS ChandraJ DuttaC LalithaX LiY PandeyS MishraA PotchinkovR ReemtsenS MehrotraD PappM DiehlB HouskaO SteinP SteuermannP MichelJ.-P PenotP MichelJ.-P PenotN HuangJ LiS WuN KanziD LuuJ YeR RockafellarP WolfeB MondT Weir
Abstract
The aim of this paper is to study strong Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming.By using the Michel-Penot subdifferential and suitable generalized regularity conditions, we establish the strong necessary and sufficient optimality conditions for some kind of efficient solutions of nonsmooth multiobjective semi-infinite programming.We also propose Wolfe and Mond-Weir duality schemes for multiobjective semi-infinite programming and explore weak and strong duality relations under the generalized convexity.
Metrics
Citation History
Topics
Related Documents
Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming
Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective semidefinite and semi-infinite programming
Lê Thanh TùngLê Thanh TùngL TungC DingD SunJ YeM GolestaniS NobakhtianJ Hiriart-UrrutyJ MalickV JeyakumarD LucA KabganiM Soleimani-DamanehP KhanhL TungN KanziS NobakhtianN KanziS LiX YangK TeoG LeeK LeeJ Martnez-LegazJ PenotJ QuanJ WuG LiO WuR RockafellarD SunD SunJ SunL TungS Yang
Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential
Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints
Lê Thanh TùngTungW AchtzigerC KanzowT HoheiselC KanzowT HoheiselC KanzowT HoheiselC KanzowD DorschV ShikhmanO SteinS MishraV SinghV LahaR MohapatraS KazemiN KanziA SadeghiehN KanziG CaristiD BarillaS MishraV SinghV LahaQ HuJ WangY ChenA KabganiM Soleimani-DamanehN KanziS NobakhtianN KanziO KostyukovaT TchemisovaB MordukhovichT NghiaO SteinG StillL TungL TungL TungH TamS GuuY SinghS MishraL TungL TungT ReilandR RockafellarP WolfeB MondT Weir