On a class of interval-valued optimization problems

In this paper, we introduce the interval-valued KT-pseudoinvex variational control problems involving multiple integral objective functionals. Specifically, a new condition of generalized convexity is defined for the functionals involved in the new class of interval-valued variational control problems. Moreover, it is proved that an interval-valued KT-pseudoinvex variational control problem is described such that every Kuhn–Tucker point is an LU-optimal solution. Also, in order to illustrate the theoretical development, an application is provided.