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Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
Authors:Xian Wu  Bevan Thompson  George X. Yuan
Affiliation:a Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092, PR China
b Department of Mathematics, the University of Queensland, Brisbane Qld 4072, Australia
Abstract:
In the present paper, we establish two fixed point theorems for upper semicontinuous multivalued mappings in hyperconvex metric spaces and apply these to study coincidence point problems and minimax problems.
Keywords:Hyperconvex metric space   Metric quasiconvex   Metric quasiconcave   Lower (upper) semicontinuous multivalued mapping   Sub-admissible set
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