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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| Format: | Article |
| Language: | English |
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Balikesir University
2014-01-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
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| Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/178/88 |
| Summary: | 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. |
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| ISSN: | 2146-0957 2146-5703 |