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The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds

The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds

In this paper, we first revisit two classes of set-valued vector quasi-equilibrium problems on Hadamard manifolds with established existence conditions of solutions.Then, we establish the generic stability of set-valued mappings whose set of essential points of a map is a dense residual subset of a (Hausdorff) metric space of the …