Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a sufficient condition for the existence of a solution to the generalized vector equilibrium problem on Hadamard manifolds using a version of the Knaster---Kuratowski---Mazurkiewicz Lemma. In particular, the existence of solutions to optimization, vector optimization, Nash equilibria, complementarity, and variational inequality problems is a special case of the existence result for the generalized vector equilibrium problem.
['Edvaldo E. A. Batista', 'G. C. Bento', 'O. P. Ferreira']
I am writing a research paper on a idea An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds
[{"from": "human", "value": "I am writing a research paper on a idea An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a sufficient condition for the existence of a solution to the generalized vector equilibrium problem on Hadamard manifolds using a version of the Knaster---Kuratowski---Mazurkiewicz Lemma. In particular, the existence of solutions to optimization, vector optimization, Nash equilibria, complementarity, and variational inequality problems is a special case of the existence result for the generalized vector equilibrium problem."}]