Optimality and duality for exponentially roughly B-invex multi-objective optimization problems

In this paper, we define a new class of functions, called exponentially roughly B-invex functions and discuss their properties. Optimality criteria for optimization problems involving these functions are obtained. Efficient solutions of exponentially roughly B-invex multi-objective problem are characterized by weighting approach. Also, sufficient and necessary conditions for a feasible solution to be an efficient solution for the considered multi-objective problem are derived. Finally, the Mond–Weir-type dual problem is considered under the exponentially roughly B-invexity assumption and its results are generalized for the considered optimization problems.