Generalized vector equilibrium problems on Hadamard manifolds
Shreyasi Jana, Chandal Nahak, Cristiana Ionescu · The Journal of Nonlinear Sciences and Applications · 2016
In this paper, we study several types of Generalized Vector Equilibrium Problems (GVEP) on Hadamard manifolds. We prove sufficient conditions under which the solution set of (GVEP)'s is nonempty. As an application, we prove existence theorems for the system of generalized vector variational inequality problems and the system of generalized Pareto optimization problems.