A class of semilocal E-preinvex maps in Banach spaces with applications to nondifferentiable vector optimization

Authors

  • Hehua Jiao

DOI:

https://doi.org/10.11121/ijocta.01.2014.00178

Keywords:

Semilocal E-preinvexity, E-type-I maps, Vector optimization, Optimality, Duality

Abstract

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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References

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Published

2013-12-16

How to Cite

Jiao, H. (2013). A class of semilocal E-preinvex maps in Banach spaces with applications to nondifferentiable vector optimization. An International Journal of Optimization and Control: Theories &Amp; Applications (IJOCTA), 4(1), 1–10. https://doi.org/10.11121/ijocta.01.2014.00178

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Section

Applied Mathematics & Control