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Volume 4, Issue 3, 1 December 2020, Pages 427-438
Abstract. 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 set-valued maps. As applications, we study generalized vector quasi-variational-like inequalities and vector quasi-optimization problems on Hadamard manifolds.
How to Cite this Article:
Nguyen Van Hung, Le Xuan Dai, Elisabeth Köbis, Jen-Chih Yao, The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds, J. Nonlinear Var. Anal. 4 (2020), 427-438.