Robust optimality conditions and duality in semi-infinite multiobjective programming

Abstract

A semi-infinite multiobjective programming problem in the face of data uncertainty in the constraints is considered.  Robust sufficient optimality conditions for weakly robust efficient, robust efficient and properly robust efficient solutions of the problem are established. The Mond-Weir type dual problem is formulated and appropriate duality results are obtained. Two nontrivial examples are discussed to validate the existence of robust optimality conditions and weak duality theorem. Moreover,  a robust fractional analogue of semi-infinite multiobjective problem is presented and robust sufficient optimality conditions and duality results are studied under convexity/generalized convexity