Duality for nonsmooth multiobjective semi-infinite programming problems with equilibrium constraints on Hadamard manifolds

This article is concerned with a class of nonsmooth multiobjective semi-infinite programming problems with equilibrium constraints in the setting of Hadamard manifolds (abbreviated as, (NSIMPEC)). We formulate Wolfe as well as Mond-Weir type dual problems related to (NSIMPEC) and derive several duality results that relate (NSIMPEC) and the corresponding dual models. Non-trivial numerical examples are incorporated to demonstrate the validity of the results established in this paper. To the best of our knowledge, this is for the first time that Wolfe and Mond-Weir dual models have been considered for (NSIMPEC) in the setting of Hadamard manifolds.