Wednesday 24th of April 2024
 

Existence of Solutions of System of Generalized Vector Quasi-EquilibriumProblems in Product FC-spaces


Wenxin Zhu and Yunyan Song

In this paper, we introduce four new types of the system of generalized vector quasi-equilibrium problems in nitely continuous topological spaces (in short,FC-spaces). By a maximal element theorem in product FC-spaces, we prove the existence of solutions for such kinds of system of generalized vector quasi-equilibrium problems. These theorems improve, unify many important result in recent literature.

Keywords: generalized vector quasi-equilibrium; FC-space; maximal element

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ABOUT THE AUTHORS

Wenxin Zhu
Basic Science Department, Tianjin Agricultural University, Tianjin, 300384, China

Yunyan Song
College of Science, Tianjin University of Technology, Tianjin, 300384, China


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