A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization

In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces is introduced for a nondiﬀerentiable vector optimization problem with restrictions of inequalities and some of its basic properties are studied. Furthermore, as its applications, some optimality conditions and duali...

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Main Author:	Hehua Jiao
Format:	Article
Language:	English
Published:	Balikesir University 2014-01-01
Series:	An International Journal of Optimization and Control: Theories & Applications
Subjects:	Semilocal E-preinvexity E-type-I maps Vector optimization Optimality Duality
Online Access:	http://ijocta.balikesir.edu.tr/index.php/files/article/view/178/88

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spelling	doaj-53b581a337a64130aaeab56108687d992020-11-24T21:13:40ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032014-01-014111010.11121/ijocta.01.2014.00178A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector OptimizationHehua Jiao In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces is introduced for a nondiﬀerentiable vector optimization problem with restrictions of inequalities and some of its basic properties are studied. Furthermore, as its applications, some optimality conditions and duality results are established for a nondiﬀerentiable vector optimization under the aforesaid maps assumptions.http://ijocta.balikesir.edu.tr/index.php/files/article/view/178/88Semilocal E-preinvexityE-type-I mapsVector optimizationOptimalityDuality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hehua Jiao
spellingShingle	Hehua Jiao A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization An International Journal of Optimization and Control: Theories & Applications Semilocal E-preinvexity E-type-I maps Vector optimization Optimality Duality
author_facet	Hehua Jiao
author_sort	Hehua Jiao
title	A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization
title_short	A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization
title_full	A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization
title_fullStr	A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization
title_full_unstemmed	A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization
title_sort	class of semilocal e-preinvex maps in banach spaces with applications to nondifferentiable vector optimization
publisher	Balikesir University
series	An International Journal of Optimization and Control: Theories & Applications
issn	2146-0957 2146-5703
publishDate	2014-01-01
description	In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces is introduced for a nondiﬀerentiable vector optimization problem with restrictions of inequalities and some of its basic properties are studied. Furthermore, as its applications, some optimality conditions and duality results are established for a nondiﬀerentiable vector optimization under the aforesaid maps assumptions.
topic	Semilocal E-preinvexity E-type-I maps Vector optimization Optimality Duality
url	http://ijocta.balikesir.edu.tr/index.php/files/article/view/178/88
work_keys_str_mv	AT hehuajiao aclassofsemilocalepreinvexmapsinbanachspaceswithapplicationstonondifferentiablevectoroptimization AT hehuajiao classofsemilocalepreinvexmapsinbanachspaceswithapplicationstonondifferentiablevectoroptimization
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A Class of Semilocal E-Preinvex Maps in Banach Spaces with Applications to Nondifferentiable Vector Optimization

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