Exact \(l_1\) exponential penalty approach for interval-valued mathematical problems

To analyze the nonsmooth, nonconvex interval-valued optimization problems with inequalities and equalities constraints under generalized invexity assumptions, we explore the notion of an exact \(l_1\) $l_1$ exponential penalty approach in this work. First, we investigate whether the related penalized exponential problem has a LU-optimal solution at the KKT point for the interval-valued problem (IVP). Furthermore, we establish a correspondence between the set of a penalized exponential problem (IVP \(_\rho \) $_{\rho }^{}$ ) and the set of a LU-optimal solution for the problem (IVP). The article includes a suitable example demonstrating how the penalty method technique employs a penalty parameter to transform a constrained problem into an unconstrained one.