A class of semilocal E-preinvex maps in Banach spaces with applications to nondiï¬€erentiable vector optimization | Zendy

Jiao He-hua | Zendy

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A class of semilocal E-preinvex maps in Banach spaces with applications to nondiï¬€erentiable vector optimization

Author(s) -

Jiao He-hua

Publication year - 2013

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2014.00178

Subject(s) - banach space , vector optimization , class (philosophy) , mathematics , duality (order theory) , pure mathematics , vector space , optimization problem , algebra over a field , mathematical analysis , mathematical optimization , computer science , artificial intelligence , multi swarm optimization

In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces is introduced for a nondii¬€erentiable 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 nondii¬€erentiable vector optimization under the aforesaid maps assumptions.

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