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In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP)h,φ. In addition, we investigate a dual problem of Mond–Weir type, called (GMWD)h,φ, and establish several duality results.