Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm

In this paper we introduce a definition of approximate Pareto efficient solution as well necessary condition for such solutions in the multiobjective setting on Riemannian manifolds. We also propose an inexact proximal point method nonsmooth optimization context by using notion solution. The main convergence result ensures that each cluster (if any) any sequence generated is critical point. Furthermore, when problem convex Hadamard manifold, full weak obtained. As application, show how can be reached limit traps variational rationality approach stay and change human dynamics.