Sufficiency and duality for multiobjective variational control problems with G-invexity

Antczak introduced vector‐valued $G$ ‐invex functions in 2009, which is a new class of generalized convex functions for differentiable multiobjective programming problems. In this paper, we extend the vector‐valued $G$ ‐invex functions to multiobjective variational control problems. By using the new concepts, a number of sufficient optimality results and Mond–Weir type duality results are obtained for multiobjective variational control programming problems.