Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces

Maryam Saadati, Morteza Oveisiha

Published 2022-11-14Version 1

This article is concerned with a nonsmooth/nonconvex composite multiobjective optimization problem involving uncertain constraints in arbitrary Asplund spaces. Employing some advanced techniques of variational analysis and generalized differentiation, we establish necessary optimality conditions for weakly robust efficient solutions of the problem in terms of the limiting subdifferential. Sufficient conditions for the existence of (weakly) robust efficient solutions to such a problem are also driven under the new concept of pseudo-quasi convexity for composite functions. Finally, we formulate a Mond-Weir-type robust dual problem to the primal problem, and explore weak, strong, and converse duality properties.