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

Abstract

In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces isintroduced for a nondifferentiable vector optimization problem with restrictions of inequalities andsome of its basic properties are studied. Furthermore, as its applications, some optimality conditionsand duality results are established for a nondifferentiable vector optimization under the aforesaid mapsassumptions