Title of article :
Generalized vector equilibrium problems on Hadamard manifolds
Author/Authors :
Jana ، Shreyasi - Indian Institute of Technology Kharagpur , Nahak ، Chandal - Indian Institute of Technology Kharagpur , Ionescu ، Cristiana - University Politehnica of Bucharest
Abstract :
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.
Keywords :
Hadamard manifold , variational inequality , equilibrium problem , KKM mapping.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
