Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming

Interval-valued univex functions are introduced for differentiable programming problems. Optimality and duality results are derived for a class of generalized convex optimization problems with interval-valued univex functions.

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Main Authors: Lifeng Li, Sanyang Liu, Jianke Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/383692
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author Lifeng Li
Sanyang Liu
Jianke Zhang
author_facet Lifeng Li
Sanyang Liu
Jianke Zhang
author_sort Lifeng Li
collection DOAJ
description Interval-valued univex functions are introduced for differentiable programming problems. Optimality and duality results are derived for a class of generalized convex optimization problems with interval-valued univex functions.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-3ff1d529abbc47f2879d12189814899b2025-02-03T05:48:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/383692383692Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear ProgrammingLifeng Li0Sanyang Liu1Jianke Zhang2Department of Mathematics, School of Science, Xidian University, Xi'an 710126, ChinaDepartment of Mathematics, School of Science, Xidian University, Xi'an 710126, ChinaDepartment of Mathematics, School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, ChinaInterval-valued univex functions are introduced for differentiable programming problems. Optimality and duality results are derived for a class of generalized convex optimization problems with interval-valued univex functions.http://dx.doi.org/10.1155/2013/383692
spellingShingle Lifeng Li
Sanyang Liu
Jianke Zhang
Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
Journal of Applied Mathematics
title Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
title_full Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
title_fullStr Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
title_full_unstemmed Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
title_short Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming
title_sort univex interval valued mapping with differentiability and its application in nonlinear programming
url http://dx.doi.org/10.1155/2013/383692
work_keys_str_mv AT lifengli univexintervalvaluedmappingwithdifferentiabilityanditsapplicationinnonlinearprogramming
AT sanyangliu univexintervalvaluedmappingwithdifferentiabilityanditsapplicationinnonlinearprogramming
AT jiankezhang univexintervalvaluedmappingwithdifferentiabilityanditsapplicationinnonlinearprogramming