On generalized KT-pseudoinvex control problems involving multiple integral functionals

In this paper, we introduce (strongly) b-KT-pseudoinvex multidimensional control problems. In this regard, we consider an extended condition of invexity and we prove that (strongly) b-KT-pseudoinvex multidimensional control problems are described such that all Kuhn-Tucker points are optimal solutions. As well, in order to illustrate our main characterization result and its effectiveness, we propose an application.