Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems

In this paper we establish necessary and sufficient optimality conditions for a nondifferenriable, nonconvex semi-infinite vector optimization problem involving locally Lipschitz functions, whose constraints are required to depend continuously on an index j belonging to a compact set J

Bibliographic Details
Main Author: N. Kanzi∗
Format: Article
Language:English
Published: Islamic Azad University 2015-12-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/329/239
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author N. Kanzi∗
author_facet N. Kanzi∗
author_sort N. Kanzi∗
collection DOAJ
description In this paper we establish necessary and sufficient optimality conditions for a nondifferenriable, nonconvex semi-infinite vector optimization problem involving locally Lipschitz functions, whose constraints are required to depend continuously on an index j belonging to a compact set J
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issn 1735-8299
1735-8299
language English
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publisher Islamic Azad University
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spelling doaj.art-f30c84380e8344bc91f590c0ab38141d2022-12-21T20:32:24ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-12-01944556Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization ProblemsN. Kanzi∗0Payame Noor UniversityIn this paper we establish necessary and sufficient optimality conditions for a nondifferenriable, nonconvex semi-infinite vector optimization problem involving locally Lipschitz functions, whose constraints are required to depend continuously on an index j belonging to a compact set Jhttp://ijmex.com/index.php/ijmex/article/view/329/239
spellingShingle N. Kanzi∗
Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
Journal of Mathematical Extension
title Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
title_full Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
title_fullStr Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
title_full_unstemmed Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
title_short Karush-Kuhn-Tucker Types Optimality Conditions for Non-Smooth Semi-Infinite Vector Optimization Problems
title_sort karush kuhn tucker types optimality conditions for non smooth semi infinite vector optimization problems
url http://ijmex.com/index.php/ijmex/article/view/329/239
work_keys_str_mv AT nkanzi karushkuhntuckertypesoptimalityconditionsfornonsmoothsemiinfinitevectoroptimizationproblems