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

Abstract

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 results established in this paper. To the best of our knowledge,  this is for the first time thatWolfe andMond-Weir dual models have been considered for (NSIMPEC)
in the setting of Hadamard manifolds.