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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.

an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications

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